On mass inflation and thin shells in quasi-topological gravity
Francesco Di Filippo, David Kubiznak, Aravindhan Srinivasan
TLDR
This paper shows standard mass inflation derivations using null thin shells are inapplicable to regular black holes in quasi-topological gravity.
Key contributions
- Analyzes null junction conditions in quasi-topological gravity theories.
- Demonstrates null thin shells do not exist for regular black holes in these theories.
- Concludes the usual mass inflation instability derivation is inapplicable.
- Emphasizes the need for new methods to study inner horizon stability.
Why it matters
This research challenges conventional understanding of black hole stability in specific gravity theories. It opens new avenues for investigating inner horizon stability, requiring novel analytical approaches beyond current methods. This is crucial for a complete picture of black hole physics.
Original Abstract
We study the null junction conditions in (re-summed) quasi-topological gravity theories, showing that no null thin shells exist within the realms of standard distributional theory for the pure gravity regular black hole solutions we have analyzed. This implies that the usual derivation of the mass inflation instability, which makes use of null thin shells, is not applicable in these theories. The problem of stability of inner horizons of regular black holes in quasi-topological gravity is hence still open and must be addressed with a more refined analysis, which does not rely on thin shells or the vacuum condition.
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