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Stability of degenerate Cauchy horizons in black hole spacetimes

Rong-Gen Cai
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Abstract

In the multihorizon black hole spacetimes, it is possible that there are degenerate Cauchy horizons with vanishing surface gravities. We investigate the stability of the degenerate Cauchy horizon in black hole spacetimes. Despite the asymptotic behavior of spacetimes (flat, anti-de Sitter, or de Sitter), we find that the Cauchy horizon is stable against the classical perturbations, but unstable quantum mechanically.

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Rong-Gen Cai. 1998-11-14. Stability of degenerate Cauchy horizons in black hole spacetimes. https://doi.org/10.1103/physrevd.59.104004

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