Abstract
We review the currently known exact non vacuum black hole solutions of the Einstein’s equations and access their astrophysical significance. The role of Penrose Cosmic Censorship hypothesis as the most essential principle underlying black hole astrophysics is also discussed. It is argued that from an astrophysicist’s point of view the two parameter family of Kerr black holes is for the moment sufficient for accretion modeling.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bekenstein J.D., (1972) Phys.Rev D. 5 2941
Bison P. (1990) Phys. Rev. Lett. 64, 2844
Bunting G. (1983) Proof of the Uniqueness Conjecture for Black Holes, PHD thesis Unpublished.
Carter B. (1973) Black Holes, Les Houches (eds. C. DeWitt and B.DeWitt)
Carter B. (1986) Gravitation in Astrophysics, Gargese (eds. B.Carter and J.B. Hartle)
Chakrabarti S.K.(1990) Theory of Transonic Flows. World Scien.
Chakrabarti S.K.(1996) Phys. Rep. 266, 229
Chase J.E., (1970) Commun. Math. Phys.,19, 276
Christodoulou D. (1984) Commun. Math. Phys. 93, 171
Chrusciel P.T.,(1996) Journées Relativistes, gr-qc 9610010
Doroskevitch A.G., Ya. Zel’dovich and I. Novikov (1966) Soy. Phys. J.E. T.P. 22,122
Eardley D.M. and L.Smarr (1979) Phys. Rev. D 19, 2239
Garfinkle D., G.Horowitz, A.Strominger (1991) Phys.Rew.D, 43, 3140
Geroch R. and J. B. Hartle (1982) J. Math. Phys. 23, 68
Gibbons G.W.(1982) Nucl.Phys., B207, 337
Gibbons G.W. and K.Maeda (1988) Nucl.Phys., B298,741
Harrison B.K., K.S. Thorne, M. Wakano, J.Wheeler (1965) Gravitation theory and Gravitation Collapse (Univer, of Chicago Press)
Hawking S.W. (1972) Commun. Math. Phys., 25, 152
Hawking S.W. and G.F.R. Ellis (1973) The large scale structure of space time. (Cambridge Univ. Press)
Hensler M. (1992) J.Math. Phys., 33, 3497
Hensler M. (1992) Class. Quant. Gray., 12, 779
Hensler M. (1996) Black Hole Uniqueness Theorems. (Camb. Univ. Press)
Israel W.(1967) Phys. Rev, 164, 1776
Israel W. (1968) Commun Math. Phys, 8, 245
Israel W.(1973) Nuovo Cimento, 6, 267
Kunzle H.P. and A.K.M.Masood-ul-Alam, (1990) J. Math. Phys. 31, 928
Lake K. and T.Zannias (1990) Phys. Rev. D 41, 3866
Lake K. and T.Zannias (1991) Phys. Rev. D 43, 1978
Mazur P. O. (1982) J. Phys. A, 15, 3173
Penrose R. (1965) Phys. Rev. Lett., 14, 455
Penrose R. (1969) Riv. Nuovo Cimento., 1, 252
Price R. (1972) Phys. Rev, 5, 2419
Robinson D.C. (1975) Phys. Rev. Lett., 34, 908
Sudarsky D. (1995) Class.Quant. Gray., 12, 579
Sudarsky D. and T. Zannias (1998) Phys.Rev. D, in Press
Sudarsky D. and R.M.Wald, (1992) Phys. Rev. D46, 1453
Synge J.L. (1971) RELATIVITY The General Theory. (North Holland)
Vishveshwara C.V. (1970) Pys. Rev., D1, 2870
Xanthopoulos B.C.(1983) Proc. R. Soc. Lond. A 388, 117
Yodzis P., H.J. Seifert and M. zum Hagen (1973) Commun. Math. Phys. 37,29
Zannias T.(1995) J. Math. Phys., 9, 2643
Zannias T.(1998) J. Math. Phys. in Press
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Zannias, T. (1999). Black Hole Solutions of Einstein’s Equations an Overview. In: Chakrabarti, S.K. (eds) Observational Evidence for Black Holes in the Universe. Astrophysics and Space Science Library, vol 234. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4750-7_9
Download citation
DOI: https://doi.org/10.1007/978-94-011-4750-7_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5995-4
Online ISBN: 978-94-011-4750-7
eBook Packages: Springer Book Archive