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A New Type of Singularity Theorem

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart  and
J.M.M. Senovilla
J.M.M. Senovilla*
Affiliation:
Física Teórica, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain
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Abstract

A new type of singularity theorem, based on spatial averages of physical quantities, is presented and discussed. Alternatively, the results inform us of when a spacetime can be singularity-free. This theorem provides a decisive observational difference between singular and non-singular, globally hyperbolic, open cosmological models.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 101 - 106
Copyright
© EAS, EDP Sciences, 2008

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References

Chinea, F.J., Fernández-Jambrina, L., & Senovilla, J.M.M., 1992, Phys. Rev. D, 45, 481 CrossRef
Fernández-Jambrina, L., 2005, Gen. Rel. Grav., 37, 421 CrossRef
Fernández-Jambrina, L., & González-Romero, L.M., 2002, Phys. Rev. D, 66, 024027 CrossRef
Fernández-Jambrina, L., & González-Romero, L.M., 2004, J. Math. Phys., 45, 2113 CrossRef
Garfinkle, D., & Harris, S.G., 1997, Class. Quantum Grav., 14, 139 CrossRef
Hawking, S.W., & Ellis, G.F.R., 1973, The large scale structure of spacetime (Cambridge Univ. Press: Cambridge)
Hawking, S.W., & Penrose, R., 1970, Proc. Roy. Soc. London A, 314, 529 CrossRef
Jerjen, H., 2007, Cosmological singularity theorems and spatial averages, Diploma thesis (University of Neuchâtel, Switzerland). Available online: http://www.unine.ch/phys/string/JerjenThesis.pdf
Mars, M., & Senovilla, J.M.M., 1997, Class. Quantum Grav., 14, 205 CrossRef
Penrose, R., 1965, Phys. Rev. Lett., 14, 57 CrossRef
Penrose, R., 1972, Techniques of Differential Topology in Relativity, Regional Conf. Ser. Appl. Math., 7 (SIAM: Philadelphia)
Raychaudhuri, A.K., 1955, Phys. Rev., 98, 1123 CrossRef
Raychaudhuri, A.K., 1957, Phys. Rev., 106, 172 CrossRef
Raychaudhuri, A.K., 1998a, Phys. Rev. Lett., 80, 654 CrossRef
Raychaudhuri, A.K., 1998b, Phys. Rev. Lett., 81, 5033 CrossRef
Raychaudhuri, A.K., 2000, Mod. Phys. Lett. A, 15, 391 CrossRef
Raychaudhuri, A.K., 2004, Gen. Rel. Grav., 36, 343 CrossRef
Raychaudhuri, A.K., 2005, Gen. Rel. Grav., 37, 425 CrossRef
Ruiz, E., & Senovilla, J.M.M., 1992, Phys. Rev. D, 45, 1995 CrossRef
Saa, A., 1998, Phys. Rev. Lett., 81, 5031 CrossRef
Senovilla, J.M.M., 1990, Phys. Rev. Lett., 64, 2219 CrossRef
Senovilla, J.M.M., 1996, Phys. Rev. D, 53, 1799 CrossRef
Senovilla, J.M.M., 1998a, Gen. Rel. Grav., 30, 701 CrossRef
Senovilla, J.M.M., 1998b, Phys. Rev. Lett., 81, 5032 CrossRef
Senovilla, J.M.M., 2007, Pramana (special issue: “Raychaudhuri Equation at the crossroads”) 67, 31
Wald, R.M., 1984, General Relativity (The University of Chicago Press: Chicago)