Structure of the singularity inside a realistic rotating black hole. (English) Zbl 0969.83521
Summary: We present the structure and results of an analysis of the asymptotic behavior of nonlinear, asymmetric, metric perturbations near the Cauchy horizon inside a Kerr black hole. This analysis suggests that metric perturbations, to all orders in the perturbation expansion, are finite and small at the Cauchy horizon, even though their gradients (and the curvature) diverge there. Accordingly, objects which fall into a realistic rotating black hole a long time after the collapse will not be crushed by a tidal gravitational deformation as they approach the curvature singularity.
References:
| [1] | Novikov, JETP Lett. 3 pp 142– (1966) |
| [2] | Cruz, Nuovo Cimento 51A pp 744– (1967) · doi:10.1007/BF02721742 |
| [3] | Simpson, Int. J. Theor. Phys. 7 pp 183– (1973) |
| [4] | Poisson, Phys. Rev. D 41 pp 1796– (1990) |
| [5] | Price, Phys. Rev. D 5 pp 2419– (1972) |
| [6] | Gursel, Phys. Rev. D 19 pp 413– (1979) |
| [7] | Gursel, Phys. Rev. D 20 pp 1260– (1979) |
| [8] | Chandrasekhar, Proc. R. Soc. London, Ser. A 384 pp 301– (1982) |
| [9] | Hiscock, Phys. Lett. 83A pp 110– (1981) · doi:10.1016/0375-9601(81)90508-9 |
| [10] | Ori, Phys. Rev. Lett. 67 pp 789– (1991) |
| [11] | Tipler, Phys. Lett. 64A pp 8– (1977) · doi:10.1016/0375-9601(77)90508-4 |
| [12] | Chandrasekhar, in: The Mathematical Theory of Black Holes (1983) |
| [13] | Misner, in: Gravitation (1973) |
| [14] | Belinsky, Sov. Phys. JETP 32 pp 169– (1970) |
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