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Radiating Demianski-type metrics and the Einstein-Maxwell fields

Published online by Cambridge University Press:  17 February 2009

L. K. Patel ,
R. P. Akabari  and
U. K. Dave
L. K. Patel
Affiliation:
Department of Mathematics, School of Sciences, Gujarat University, Ahmedabad 380009, India.
R. P. Akabari
Affiliation:
Department of Mathematics, School of Sciences, Gujarat University, Ahmedabad 380009, India.
U. K. Dave
Affiliation:
Department of Statistics, School of Sciences, Gujarat University, Ahmedabad 380009, India.
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Abstract

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A Demianski-type metric is investigated in connection with the Einstein-Maxwell fields. Using complex vectorial formalism, some exact solutions of Einstein-Maxwell field equations for source-free electromagnetic fields plus pure radiation fields are obtained. The radiating Demianski solution, the Debney-Kerr-Schild solution and the Brill solution are derived as particular cases.

Type
Research Article
Information
The ANZIAM Journal , Volume 30 , Issue 1 , July 1988 , pp. 120 - 126
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Akabari, R. P., Dave, U. K. and Patel, L. K., “Some pure radiation fields in general relativity”, J. Aust. Math. Soc., Ser. B. 21 (1980) 464–473.CrossRefGoogle Scholar
[2]Bhatt, P. V. and Patel, L. K., “A Kerr-NUT metric and Einstein-Maxwell fields”, J. Math. Phys. Sci. 12, 1 (1978) 69–84.Google Scholar
[3]Bonnor, W. B. and Vaidya, P. C., “Spherically symmetric radiation of charge in Einstein-Maxwell theory”, Gen. Rel. Grav. 1 (1970) 127.CrossRefGoogle Scholar
[4]Bonnor, W. B. and Vaidya, P. C., Studies in Relativity, (ed. O'Raifeatigh, L.), (Cleardon Press, 1972) 119–132.Google Scholar
[5]Brill, D. R., “Electromagnetic fields in homogeneous non isotropic universe”, Phys. Rev. 113-B (1964) 845–848.CrossRefGoogle Scholar
[6]Canon, M., Debever, R. and Defrise, L., “A complex vectorial formalism in general relativity”, J. Math. & Mech. 16 (1967) 761–786.Google Scholar
[7]Coddington, E. A., An introduction to ordinary differential equations (Prentice Hall, Inc., New York, 1961).Google Scholar
[8]Debney, G. C., Kerr, R. P. and Schild, A., “Solutions of Einstein-Maxwell equations”, J. Math. Phys. 10 (1969) 1848–54.CrossRefGoogle Scholar
[9]Demianski, M., “New Kerr like space-time”, Phys. Lett. 42A (1972) 157–159.CrossRefGoogle Scholar
[10]Israel, W., Differential forms in general relativity, Comm. Dublin Inst. for Advanced Studies, Ser. A 19 (1970).Google Scholar
[11]Kerr, R. P., “Gravitational field of a spinning mass as an example of algebraically special metrics”, Phys. Rev. Lett. 11 (1963) 237–38.CrossRefGoogle Scholar
[12]Newmann, E., Tamburino, L. and Unti, J., “Empty space generalization of Schwarzschild metric”, J. Math. Phys. 4 (1963) 915–923.CrossRefGoogle Scholar
[13]Patel, L. K., “Radiating Demianski type space times”, Indiana J. Pure, Appl. Math. 9 (1978) 1019–1026.Google Scholar
[14]Patel, L. K. and Misra, M., “The field of a rotating charged body emitting null fluid”, Gen. Rel. Grav. 6 (1974) 281–288.CrossRefGoogle Scholar
[15]Vaidya, P. C., Patel, L. K. and Bhatt, P. V., “A Kerr NUT metric”, Gen. Rel. Grav. 7 (1976) 701–708.CrossRefGoogle Scholar