Abstract
We study the behaviour of a free massive scalar wave-packet near the Cauchy horizon of an $\mathrm{AdS}_2$ black hole and find that it becomes infinitely differentiable for smooth initial data, independently of the parameters describing the spacetime or the scalar. This indicates a violation of the strong cosmic censorship conjecture at the classical level. We discuss our result in connection with some recent observations of violation of the conjecture for certain nearly extremal black holes.
Highlights
The general theory of relativity is arguably the most elegant classical theory of physics
The question of the stability of Cauchy horizons (CH) has been studied for a long time and strong cosmic censorship (SCC) is believed to be true for a wide class of black holes (BH)
It has received some attention in the recent years—in particular, it has been observed that SCC is violated for certain BHs when the BHs are sufficiently near extremality
Summary
The general theory of relativity is arguably the most elegant classical theory of physics. Even when the BHs are nearly extremal, an appropriate scaling does give rise to a near-horizon AdS2 BH geometry (see, e.g., [13]) This naturally begs the question whether the violation has anything to do with the AdS2 factor. The JT model has been extensively studied [16] in the recent years—its connection with the quantum mechanical Sachdev-YeKitaev model [17,18,19] and its variants has attracted considerable attention from the community It has been successful in describing features of nearly extremal BHs with a near-horizon AdS2 geometry (see [13,20,21,22] and references therein). The question of SCC in BTZ BH was addressed in [23] and more recently in, e.g., [24,25,26,27]
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