Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Point Particle Solutions
- 3 Dust Solutions
- 4 A Shortcut to (2+1) Cyclic Symmetric Stationary Solutions
- 5 Perfect Fluid Static Stars; Cosmological Solutions
- 6 Static Perfect Fluid Stars with Λ
- 7 Hydrodynamic Equilibrium
- 8 Stationary Circularly Symmetric Perfect Fluids with Λ
- 9 Friedmann–Robertson–Walker Cosmologies
- 10 Dilaton–Inflaton Friedmann–Robertson–Walker Cosmologies
- 11 Einstein–Maxwell Solutions
- 12 Black Holes Coupled To Nonlinear Electrodynamics
- 13 Dilaton Field Minimally Coupled to (2 + 1) Gravity
- 14 Scalar Field Non-Minimally Coupled to (2+1) Gravity
- 15 Low-Energy (2+1) String Gravity
- 16 Topologically Massive Gravity
- 17 Bianchi-Type (BT) Spacetimes in TMG; Petrov Type D
- 18 Petrov Type N Wave Metrics
- 19 Kundt Spacetimes in TMG
- 20 Cotton Tensor in Riemannian Spacetimes
- References
- Index
- References
References
Published online by Cambridge University Press: 30 August 2017
Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Point Particle Solutions
- 3 Dust Solutions
- 4 A Shortcut to (2+1) Cyclic Symmetric Stationary Solutions
- 5 Perfect Fluid Static Stars; Cosmological Solutions
- 6 Static Perfect Fluid Stars with Λ
- 7 Hydrodynamic Equilibrium
- 8 Stationary Circularly Symmetric Perfect Fluids with Λ
- 9 Friedmann–Robertson–Walker Cosmologies
- 10 Dilaton–Inflaton Friedmann–Robertson–Walker Cosmologies
- 11 Einstein–Maxwell Solutions
- 12 Black Holes Coupled To Nonlinear Electrodynamics
- 13 Dilaton Field Minimally Coupled to (2 + 1) Gravity
- 14 Scalar Field Non-Minimally Coupled to (2+1) Gravity
- 15 Low-Energy (2+1) String Gravity
- 16 Topologically Massive Gravity
- 17 Bianchi-Type (BT) Spacetimes in TMG; Petrov Type D
- 18 Petrov Type N Wave Metrics
- 19 Kundt Spacetimes in TMG
- 20 Cotton Tensor in Riemannian Spacetimes
- References
- Index
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Exact Solutions in Three-Dimensional Gravity , pp. 421 - 429Publisher: Cambridge University PressPrint publication year: 2017
References
, , , , and (2009). “Warped AdS 3 black holes,” JHEP 0903, 130, arXiv:0807.3040.CrossRefGoogle Scholar
(1987). “Topologically massive gravity in the dreibein light-front gauge,” Class. Quant. Grav. 4, L1.CrossRefGoogle Scholar
, , and (2005). “Electromagnetic fields in stationary cyclic symmetric 2+1 gravity”, In Proceedings of the 10th. PASCOS04 and Pran Nath Fest, Eds. , , , (World Scientific, 2005), p.359.Google Scholar
, , , and (2000). “Note on scalar fields nonminimally coupled to (2+1) gravity,” Phys. Lett. B495, 164 [gr-qc/0101079].CrossRefGoogle Scholar
and (2005). “pp–waves of conformal gravity with selfinteracting source,” Annals Phys. 317, 175. hep-th/0409150.CrossRefGoogle Scholar
and (2006). “Exploring AdS waves via nonminimal coupling,” Phys. Rev. D 73, 104001. hep-th/0512074.Google Scholar
, , and (2004). “Birkhoff's theorem for threedimensional AdS gravity,” Phys. Rev. D70, 044027. [hep-th/0403227].Google Scholar
, , and (1993). “Geometry of the (2+1) black hole,” Phys. Rev. D48, 1506. [gr-qc/9302012].Google Scholar
, , and (1992). “The black hole in threedimensional spacetime,” Phys. Rev. Lett. 69, 1849. [hep-th/9204099].CrossRefGoogle Scholar
, , and (1986). “Three-dimensional classical spacetimes,” Class. Quant. Grav. 3, 551–567.CrossRefGoogle Scholar
, , and (2006). “Cosmology in three dimensions: Steps towards the general solution,” Class. Quant. Grav. 23, 5291. [gr-qc/0606025].CrossRefGoogle Scholar
and (2007). “Black hole mass and angular momentum in topologically massive gravity,” Class. Quant. Grav. 24, 5581. arXiv:0706.0263.CrossRefGoogle Scholar
, , and (1994). “Temperature, energy and heat capacity of asymptotically anti-de Sitter black holes,” Phys. Rev. D50, 6394. [grqc/ 9405007].Google Scholar
and (1993). “Quasilocal energy and conserved charges derived from the gravitational action”, Phys. Rev. D47, 1407.
(1998). Quantum Gravity in 2+1 Dimensions, Cambridge, UK: Cambridge University Press.CrossRefGoogle Scholar
, , , and (2008). “Topologically massive AdS gravity,” Phys. Lett. B666, 272. arXiv:0807.0486.CrossRefGoogle Scholar
, , , and (2009). “Cosmological topologically massive gravitons and photons,” Class. Quant. Grav. 26, 075008.CrossRefGoogle Scholar
(2002). “Azimuthal electric field in a static rotationally symmetric (2+1)- dimensional space-time,” Phys. Lett. B529, 143. [gr-qc/0201047].CrossRefGoogle Scholar
(2004). “Rotating perfect fluids in (2+1)–dimensional Einstein gravity,” Phys. Rev. D69, 064015.Google Scholar
, , , and (2004). “On magnetic solution to (2+1) Einstein–Maxwell gravity,” hep-th/0401189.
, , , and (2000). “(2+1)–dimensional black hole with Coulomb-like field,” Phys. Lett. B484, 154. [hep-th/0008138].CrossRefGoogle Scholar
, , and (2001). “BTZ black hole from (3+1) gravity,” Gen. Rel. Grav. 33, 1245. [gr-qc/0004023].CrossRefGoogle Scholar
, and (1999). “Three dimensional black hole coupled to the Born–Infeld electrodynamics,” Phys. Lett. B456, 28.CrossRefGoogle Scholar
and (2000). “Regular (2+1)-dimensional black holes within nonlinear electrodynamics,” Phys. Rev. D61, 084003. [hep-th/0004177].Google Scholar
and (1996). “Static Einstein–Maxwell solutions in (2+1)- dimensions,” Phys. Rev. D54, 2971.Google Scholar
(1999). “The Birkhoff theorem for topologically massive gravity,” Grav. Cosmol. 5, 101. gr-qc/9904047.Google Scholar
(1996). “Comment on the calculation of the angular momentum for the (anti)selfdual charged spinning BTZ black hole,” Phys. Lett. B373, 296. [grqc/ 9509032].CrossRefGoogle Scholar
(1997). “Modifications of the BTZ black hole by a dilaton and scalar,” Phys. Rev. D55, 3564. [gr-qc/9603038].Google Scholar
and (1994). “Static charged black holes in (2+1)- dimensional dilaton gravity,” Phys. Rev. D50, 6385, [Erratum: Phys. Rev. D52, 2600. (1995)]. [gr-qc/9404040].Google Scholar
and (1996). “Spinning black holes in (2+1)-dimensional string and dilaton gravity,” Phys. Lett. B371, 199. [gr-qc/9510069].CrossRefGoogle Scholar
, , and (2010a). “Classification of solutions in topologically massive gravity,” Class. Quant. Grav. 27, 105001.CrossRefGoogle Scholar
, , and (2010b). “Kundt spacetimes as solutions of topologically massive gravity,” Class. Quant. Grav. 27, 105002.CrossRefGoogle Scholar
(1976). “Field-theoretic extended particles in two space dimensions,” Nucl. Phys. B114, 437.CrossRefGoogle Scholar
(1985a). “Stationary solutions in three-dimensional general relativity,” Int. J. Theor. Phys. 24, 267.CrossRefGoogle Scholar
(1992a). “Stationary rotationally symmetric solutions in topologically massive gravity”, Class. Quant. Grav. 9, 2615.CrossRef
(1992b). “Localised solutions in topologically massive gravity,” Class. Quant. Grav. 9, S35.CrossRefGoogle Scholar
(1993). “Classical solutions in three-dimensional Einstein–Maxwell cosmological gravity,” Class. Quant. Grav. 10, L49.CrossRefGoogle Scholar
(1994). “Particle-like solutions to topologically massive gravity,” Class. Quant. Grav. 11, L115, gr-qc/9404004.CrossRefGoogle Scholar
(1996). “Spinning charged BTZ black holes and selfdual particle-like solutions,” Phys. Lett. B367, 70. [gr-qc/9510025].CrossRefGoogle Scholar
, , and (2006). “On spacetimes with constant scalar invariants,” Class. Quant. Grav. 23, 3053. gr-qc/0509113.CrossRefGoogle Scholar
, , and (2008). “Lorentzian spacetimes with constant curvature invariants in three dimensions,” Class. Quant. Grav. 25, 025008. arXiv:0710.3903.CrossRefGoogle Scholar
, , and (2009). “Lorentzian spacetimes with constant curvature invariants in four dimensions,” Class. Quant. Grav. 26, 125011. arXiv:0904.4877.CrossRefGoogle Scholar
, , , and (2009). “Kundt spacetimes,” Class. Quant. Grav. 26, 105016. arXiv:0901.0394.CrossRefGoogle Scholar
(1977). “General relativity in two-and three-dimensional space-times,” Am. J. Phys. 45, 833.CrossRefGoogle Scholar
and (1994). “Gravitation versus rotation in (2+1)– dimensions,” Class. Quant. Grav. 11, 723. [gr-qc/9306012].CrossRefGoogle Scholar
and (1994b). “Self-dual solutions of the 2 + 1 Einstein gravity with a negative cosmological constant,” [hep-th9407181].
and (2000). “Cosmological scaling solutions of minimally coupled scalar fields in three dimensions” Class. Quant. Grav. 17, 2867.CrossRef
and (1995). “Stellar equilibrium in (2+1)-dimensions,” Class. Quant. Grav. 12, 975 [gr-qc/9411032].CrossRefGoogle Scholar
and (2001). “Supersymmetric solutions to topologically massive gravity and black holes in three dimensions,” Phys. Rev. D 64, 027501. gr-qc/0009082.Google Scholar
and (1988). “Gravitational interactions in 2 + 1 dimensions,” Class. Quant. Grav. 5, 951.CrossRefGoogle Scholar
(1984). “Cosmological topological supergravity,” in Quantum Theory of Gravity, ed. , Adam Hilger, London.Google Scholar
and (1989). “String sources in (2+1)-dimensional gravity,” Ann. of Phys. 192, 352.CrossRefGoogle Scholar
, , and (2005). “Cotton blend gravity pp waves,” Acta Phys. Polon. B36, 27. [gr-qc/0409011].Google Scholar
, and (1982a). “Three-Dimensional Massive Gauge Theories,” Phys. Rev. Lett. 48, 975.CrossRefGoogle Scholar
, , and (1982b). “Topological massive gauge theories,” Ann. of Phys. 140, 372.CrossRefGoogle Scholar
, and 't (1984). “Three-dimensional Einstein gravity: dynamics of flat space,” Ann. of Phys. 152, 220–235.CrossRefGoogle Scholar
and (1985). “Static solutions in D = 3 Einstein–Maxwell theory,” Class. Quant. Grav. 2 L51–L56.CrossRefGoogle Scholar
and (1992). “Gravity theories with lightlike sources in D = 3,” Class. Quant. Grav. 9, L153. hep-th/9208018.CrossRefGoogle Scholar
and (2002b). “Rotating magnetic solution in threedimensional Einstein gravity,” JHEP 01(2002), 006. [hep-th/0201058].CrossRefGoogle Scholar
, , and (2009). “Asymptotically AdS 3 solutions to topologically massive gravity at special values of the coupling constants,” Phys. Rev. D 79, 044036. arXiv:0811.4464.Google Scholar
(1999). “On the rotating charged BTZ metric,” hep-th/9909111.
(2004). “Stationary circularly symmetric 2+1 rigidly rotating perfect fluid,” Phys. Rev. D69, 124024.Google Scholar
(2009). “Three-dimensional stationary cyclic symmetric Einstein– Maxwell solutions; black holes,” Ann. of Phys. 324, 2004–2050.CrossRefGoogle Scholar
(2014). “Hydrodynamic equilibrium of a static star in the presence of a cosmological constant in 2 + 1 dimensions,” arXiv:1412.5620[gr-qc].
and (2003). “All static circularly symmetric perfect fluid solutions of 2+1 gravity,” Phys. Rev. D67, 064014.Google Scholar
, , and (2003). “Relationship between (2+1) and (3+1) Friedmann–Robertson–Walker cosmologies,” Phys. Rev. D68, 124022. [hepth/ 0309098].Google Scholar
, , , and (2004). “The Cotton tensor in Riemannian space-times,” Class. Quant. Grav. 21, 1099 [gr-qc/0309008].CrossRefGoogle Scholar
(2013). “Three-dimensional stationary cyclic symmetric Einstein– Maxwell solutions; energy,” [gr-qc/0309008].
and (2014a). “Low energy 2+1 string gravity; black hole solutions,” arXiv:1412.5618[gr-qc].
and (2014b). “Dilaton minimally coupled to 2+1 Einstein–Maxwell fields: stationary cyclic symmetric black holes,” arXiv:1412.5621 [gr-qc].
, , and (2008). “The general supersymmetric solution of topologically massive supergravity,” Class. Quant. Grav. 25, 205005, arXiv:0807.2613.CrossRefGoogle Scholar
, , and (1984). “Einstein's theory in a threedimensional space-time,” Gen. Rel. Grav. 16, 751.CrossRefGoogle Scholar
and (1984). “General relativity in a (2+1)-dimensional spacetime,” Gen. Rel. Grav. 16, 243.CrossRefGoogle Scholar
, , and (1986). “General relativity in a (2+1)- dimensional space-time: An electrically charged solution,” Gen. Rel. Grav. 18, 1019.CrossRefGoogle Scholar
(1994). “Perfect fluid sources in 2+1 dimensions,” Class. Quant. Grav. 11, 2585–2587.CrossRefGoogle Scholar
(2008). “Gödel type metrics in three dimensions,” Gen. Rel. Grav.,42, 1413. arXiv:0812.2576.CrossRefGoogle Scholar
and (1999). “Classification and conformal symmetry in three-dimensional space-time,” J. Math. Phys. 40, 1466–1478.CrossRefGoogle Scholar
and (1996). “Magnetic solutions to (2+1) gravity,” Phys. Rev. D53, 5579 [hep-th/9510181].Google Scholar
and (1992). “Exact string solution in three dimensions,” Nucl. Phys. B368, 444.CrossRefGoogle Scholar
(1992). “The dark side of string theory; Black holes and black strings,” [arXiv:hep-th/9210119].
(2005). “Creating naked singularities and negative energy,” Phys. Scripta T117, 86. [hep-th/0312123].CrossRefGoogle Scholar
and (1993). “Exact three-dimensional black holes in string theory,” Phys. Rev. Lett. 71, 328. [hep-th/9302126].CrossRefGoogle Scholar
(2006). “4-dimensional Einstein gravity extended by a 3-dimensional gravitational Chern–Simons term,” Int. J. Theor. Phys. 45, 1431. [gr-qc/0310115].CrossRefGoogle Scholar
and (1995). “The electrically charged BTZ black hole with self (antiself) dual Maxwell field,” Phys. Lett. B353, 196. [hep-th/9505037].CrossRefGoogle Scholar
and (1997). “2+1-dimensional charged black hole with (anti-) self dual Maxwell field,” Phys. Lett. B391, 196.Google Scholar
(1992). “About some exact solutions for (2+1) gravity coupled to gauge fields,” Mod. Phys. Lett. A7, 2341. [hep-th/9205095].CrossRefGoogle Scholar
and (2005). “Kerr–Schild metric in topological massive (2+1) gravity,” Gen. Rel. Grav. 37, 759.CrossRefGoogle Scholar
and (1993). “Gravitationally collapsing dust in 2 + 1 dimensions”, Phys. Rev. D47, 3319.Google Scholar
, and (2000). “Charged rotating black hole in three space-time dimensions,” Phys. Rev. D61, 104013 [hep-th/9912259].Google Scholar
and (1996). “Conformally dressed black hole in (2+1)- dimensions,” Phys. Rev. D 54, 3830. [gr-qc/9604021].Google ScholarPubMed
and (2004). “Extremal limit for charged and rotating (2+1)–dimensional black holes and Bertotti-Robinson geometry,” Class. Quant. Grav. 21, 4283 [gr-qc/0404090].CrossRefGoogle Scholar
(1986). “Exterior solutions for electric and magnetic stars in 2+1 dimensions,” Class. Quant. Grav. 3, 117-131.CrossRefGoogle Scholar
, , and (2003). “The black holes of topologically massive gravity,” Class. Quant. Grav. 20, L277, gr-qc/0303042.CrossRefGoogle Scholar
(1993). “Exact solutions of topologically massive gravity with a cosmological constant,” Class. Quant. Grav. 10, 2657.CrossRefGoogle Scholar
and (1989). “Homogeneous, anisotropic three-manifolds of topologically massive gravity,” Annals Phys. 195, 16.CrossRefGoogle Scholar
(1990). “Homogeneous solutions to topologically massive gravity,” Annals Phys. 200, 345.CrossRefGoogle Scholar
, , and (2005). “Mass and angular momentum of asymptotically AdS or flat solutions in the topologically massive gravity,” Class. Quant. Grav. 22, 4355, gr-qc/0507003.CrossRefGoogle Scholar
(1993). “Unification of gravity and Yang-Mills theory in (2+1)-dimensions,” Nucl. Phys. B395, 239 [gr-qc/9211014].CrossRefGoogle Scholar
, , and (1987). “Topologically massive planar universes with constant twist,” Ann. of Phys. 176, 344.CrossRefGoogle Scholar
and (1998). “Gödel metric as a squashed anti-de Sitter geometry,” Class. Quant. Grav. 15, 3241 [gr-qc/9804027].CrossRefGoogle Scholar
(1977). “A relation between the homogeneity of the Universe and the dimensional of space” Mon. Not. R. Astr. Soc. 179, 659.CrossRef
and (2003). “Algebraic classification of the curvature of three-dimensional manifolds with indefinite metric,” J. Math. Phys. 44, 4374.CrossRefGoogle Scholar
(1985). “Topologically massive planar universe,” Phys. Lett. B163, 91. Gen. Rel. Grav. 23, 181–187.CrossRefGoogle Scholar
and (1993). “Critical behavior and scaling in vacuum axisymmetric gravitational collapse,” Phys. Rev. Lett. 70, 2980.CrossRefGoogle ScholarPubMed
, , and (1962). “The dynamics of General Relativity.” In: Gravitation: An Introduction to Current Research, (Ed.). Wiley, New York.Google Scholar
, and (2004). “Isolated and dynamical horizons and their applications,” Living Rev. Rel. 7, 10.CrossRefGoogle ScholarPubMed
and (1998). “Regular black hole in general relativity coupled to a nonlinear electrodynamics,” Phys. Rev. Lett. 80, 5056.CrossRefGoogle Scholar
(1921). “Zur Weylschen Relativitätstheorie und der Weylschen Erweiterung des Krümmungsbegriffs,” Math. Zeitschr. 9, 110–135.CrossRefGoogle Scholar
, , and (1992). “Dynamical symmetries in topological 3D gravity with torsion,” Nuovo Cimento. B107, 91–110.CrossRefGoogle Scholar
, , and (2009) “Massive gravity in three dimensions,” Phys. Rev. Lett. 102, 201301.CrossRefGoogle ScholarPubMed
(1959). “Uniform electromagnetic field in the theory of general relativity,” Phys. Rev. 116, 1331–1333.CrossRefGoogle Scholar
, , and (2001). “The Cotton, Simon–Mars and Cotton–York tensors in stationary spacetimes,” Class. Quant. Grav. 18, 4969.CrossRefGoogle Scholar
, and (1934). “On the quantum theory of the electromagnmetic field,” Proc. Roy. Soc. (London) A144, 425.CrossRefGoogle Scholar
(1923). “On Riemann spaces conformal to Euclidean spaces,” Proc. Natl. Acad. Sci. U.S. 9, 1.CrossRefGoogle Scholar
(1993). “Path integral derivation of quantum duality in nonlinear sigma models,” Phy. Lett. B201, 466.Google Scholar
(1968). “Hamilton–Jacobi and Schrodinger separable solutions of Einstein's equations,”Commun. Math. Phys. 10, 280 (1968), (1968). “A new family of Einstein spaces,” Phys. Lett. A26, 399.CrossRef
(1899). “Sur les variétés a trois dimensions,” Ann. Fac. d. Sc. Toulouse (II) 1, 385.CrossRefGoogle Scholar
(1993). “Universality and scaling in gravitational collapse of a massless scalar field,” Phys. Rev. Lett. 70, 9.CrossRefGoogle ScholarPubMed
and (1993). The Global Nonlinear Stability of the Minkowski Space. Princeton University Press, Princeton, NJ.Google Scholar
(2014). “Massive Gravity,” Living Rev.Rel. 17, 7. arXiv:1401.4173 [hep-th].CrossRefGoogle ScholarPubMed
(1961). “Beiträge zur realativistischen Mechanik kontinuierlich Medien,” Abh. Mainzer Akad. Wiss., Math.–natuwiss,” No, 11, English Translation: (1993) “Contributions to relativistic mechanics of continuous media,” Gen. Rel. Grav. 25, 1225–1266. See also, (2002). “Relativistic hydrodynamics,” Gen. Rel. Grav. 34, 2171.Google Scholar
and (2002). “On the classification of Type D spacetimes,” [gr-qc/0212086].
and (1985). “Nonlinear electrodynamics from quantized strings,” Phys. Lett. B163, 123.CrossRefGoogle Scholar
, , and (1996). “Stationary strings and principal Killing triads in 2+1 gravity,” Nucl. Phys. B 468, 336.CrossRefGoogle Scholar
and (1995). “Electric–magnetic duality rotations in non-linear electrodynamics,” Nucl. Phys. B454, 185.CrossRefGoogle Scholar
, , and (1998). “Gauge Theory Correlators from Non-Critical String Theory,” Phys. Lett. B428, 105 (arXiv: hep-th/9802109).CrossRefGoogle Scholar
(1999). “Critical Phenomena in Gravitational Collapse,” Living Rev. Rel. 2, 4 (arXiv: gr-qc/0001046).CrossRefGoogle ScholarPubMed
, , , and (2003). “Dimensionally reduced gravitational Chern–Simons term and its kink,” Ann. Phys. (NY) 308, 222–236. (arXiv: hep-th/0305117).CrossRefGoogle Scholar
and (1975). “Conformal uniqueness and various forms of the Schwarzschild interior metric,” Nuovo Cimento 25 B, 786.CrossRefGoogle Scholar
(2008). “Dynamics of black holes,” arXiv:0810.0923 [gr-qc].
, , , and (1995). “Metric–affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance,” Phys. Repts. 258, 1.CrossRefGoogle Scholar
(2001). “The Einstein 3-form Gα and its equivalent 1–form Lα in Riemann– Cartan spacetime,” Gen. Relat. Grav. 33, 1115.CrossRefGoogle Scholar
(1966). “Singular hypersurfaces and thin shells in General Relativity,” Nuovo Cimento. XLIV B, 1.CrossRefGoogle Scholar
and (2003). “Chern–Simons Modification of General Relativity,” arXiv: gr-qc/0308071.
and (1961). Mathematics Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for References and Review, McGraw–Hill, New York.Google Scholar
(1918). “ Über die physikalischen Grudlagen der Einsteischen Gravitationstheorie,” Annalen Physik 56, 410.Google Scholar
, , , and (1980). Exact Solutions of the Einstein's Field Equations, Deutsch. Ver. der Wiss., Berlin.Google Scholar
and (2000). Cosmological Inflation and Large-Scale Structure, Cambridge University Press.CrossRefGoogle Scholar
(1986). “An unusual cosmological solutions for Λϕ4 theory with broken symmetry,” Gen. Rel. and Grav. 18, 879.CrossRefGoogle Scholar
(1998). “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2, 231 (arXiv: hep-th/9711200).CrossRefGoogle Scholar
, and (1991). “Classical solutions of 2–dimensional string theory,” Mod. Phys. Lett. A 6 1685.CrossRefGoogle Scholar
and (2000). “Maximum mass–radius ratio for compact general relativistc objects in Swarzschild–de Sitter geometry,” Mod. Phys. Lett. A15, 2105.Google Scholar
and (1993). “Multi-black hole solutions in cosmological Einstein– Maxwell dilaton theory,” Class. Quant. Grav. 10, 2171.CrossRefGoogle Scholar
and (1986). Spinors and Space-Time. 2 Vols. Cambridge University Press, Cambridge, UK.CrossRefGoogle Scholar
(1967). On Conformally Equivalent Riemannian Spaces, Monograph of CINVESTAV-IPN, México.
(1975). “A class of solutions of Einstein–Maxwell equations,” Ann. of Phys. (USA) 90, 196.Google Scholar
and (2000). “Hydrostatic equilibrium of a perfect fluid sphere with exterior higher-dimensional Schwarzschild spacetime,” Gen. Rel. Grav. 32, 1207.CrossRefGoogle Scholar
(1959). “A solution of the Einstein–Maxwell equations,” Bull. Acad. Polon. Sci., Ser. Math. AStr. Phys. 7, 351.Google Scholar
, , and (1984). “Type D solutions of the Einstein and Born–Infeld nolinear electrodynamics equations,” Nuovo Cimento B84, 65.Google Scholar
, , and (1987). “Duality rotations and type D solutions to Einstein equations with nonlinear electrodynamics sources,” J. Math. Phys. 28, 2171.CrossRefGoogle Scholar
(1958). “Über die konforme Abbildung n-dimensionaler Mannigfaltigkeiten mit quadratischer Masbestimmung auf eine Mannigfaltigkeit euklidischer Masbestimmung,” Math. Zeit. 11, 58.CrossRefGoogle Scholar
(1990). General Relativity–An Introduction to the Theory of Gravitational Field, Cambridge University Press, Sec. Ed.Google Scholar
, , , and (2003). Exact Solutions to Einstein's Field Equations, Second Edn. Cambridge University Press.CrossRefGoogle Scholar
(1984). General Relativity and Relativistic Astrophysics, Springer– Verlag, Berlin.CrossRefGoogle Scholar
, , and (1996). “A quadratic curvature Lagrangian of Pawlowski and R, aczka: A finger exercise with Math Tensor.” In: Relativity and Scientific Computing, , , (Eds.). Springer, Berlin (arXiv: gr-qc/9601002).Google Scholar
(1963). “Schwarzschil field in n dimensions and the dimensionality of the space problem,” Il Nuovo Cimento. 27, 636.CrossRefGoogle Scholar
(1959). Les principles de la théorie èlectromagnètique et de la relativltè, Masson et Cie, Editeurs, 120 Boulevard Saint Germain, Paris.Google Scholar
(1992). “Dirty black holes: Thermodynamics and horizon structure,” Phys. Rev. D46, 2445.Google Scholar
(1972). Gravitation and Cosmology: Principles and applications of the General Theory of Relativity, Wiley, New York.Google Scholar
(1998). “Anti de Sitter space and holography,” Adv. Theor. Math. Phys. 2, 253. (arXiv: hep-th/9802150).CrossRefGoogle Scholar
(1971). “Gravitational degrees of freedom and the initial-value problem,” Phys. Rev. Lett. 26, 1656–1658.CrossRefGoogle Scholar
(2009). “Buchdahl limit for d–dimensional spherical solutions with a cosmological constant,” Gen. Rel. Grav. 41, 453.CrossRefGoogle Scholar