Non-linear instability of Kerr-type Cauchy horizons

Details Non-linear instability of Kerr-type Cauchy horizons Non-linear instability of Kerr-type Cauchy horizons

1995-01-21

arxiv.org/abs/gr-qc/9501025v1

Phys.Rev. D51 (1995) 4177-4186

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages RevTeX, two postscript figures included using epsf.sty

Scientific paper

10.1103/PhysRevD.51.4177

Using the general solution to the Einstein equations on intersecting null surfaces developed by Hayward, we investigate the non-linear instability of the Cauchy horizon inside a realistic black hole. Making a minimal assumption about the free gravitational data allows us to solve the field equations along a null surface crossing the Cauchy Horizon. As in the spherical case, the results indicate that a diverging influx of gravitational energy, in concert with an outflux across the CH, is responsible for the singularity. The spacetime is asymptotically Petrov type N, the same algebraic type as a gravitational shock wave. Implications for the continuation of spacetime through the singularity are briefly discussed.

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