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Non-linear instability of Kerr-type Cauchy horizons

Patrick R Brady·Chris M Chambers
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Abstract

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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Patrick R Brady, Chris M Chambers. 1995-01-21. Non-linear instability of Kerr-type Cauchy horizons. https://doi.org/10.1103/physrevd.51.4177

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