Inner-extremal regular black holes from pure gravity

Abstract

Recently it was shown that essentially all regular black hole models constructed so far can be obtained as solutions of vacuum gravity equations, upon considering an infinite series of quasi-topological higher curvature corrections. Here we show that such a construction can be upgraded to yield regular black holes with vanishing inner horizon surface gravity. In four dimensions, such a condition is necessary for the absence of classical instabilities associated with mass inflation on the inner horizon.

12 pages, 1 figure v2: minor updates, added references

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• A new representation of vacuum Lovelock solutions in $d=2N+1$ dimensions: Black holes with an integrable singularity and regular black holes
• On regular charged black holes in three dimensions
• All $2D$ generalised dilaton theories from $d\ge 4$ gravities
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Exploring non-perturbative effects on quasi-topological black hole thermodynamics
• Novel very-high-frequency quasi-periodic oscillations of compact, non-singular objects