A New Look at the $C^{0}$-formulation of the Strong Cosmic Censorship Conjecture

Aditya Iyer; Alexander Y. Yosifov; Vlatko Vedral

doi:10.1088/1367-2630/ac6e81

paper

A New Look at the $C^{0}$ -formulation of the Strong Cosmic Censorship Conjecture

arXiv:2206.08716 · doi:10.1088/1367-2630/ac6e81

Abstract

We examine the $C^{0}$ -formulation of the strong cosmic censorship conjecture (SCC) from a quantum complexity-theoretic perspective and argue that for generic black hole parameters as initial conditions for the Einstein equations, corresponding to the expected geometry of a hyperbolic black hole, the metric is $C^{0}$ -extendable to a larger Lorentzian manifold across the Cauchy horizon. To demonstrate the pathologies associated with a hypothetical validity of the $C^{0}$ SCC, we prove it violates the "complexity=volume" conjecture for a low-temperature hyperbolic AdS $_{d + 1}$ black hole dual to a CFT living on a ( $d - 1$ )-dimensional hyperboloid $H_{d - 1}$ , where in order to preserve the gauge/gravity duality we impose a lower bound on the interior metric extendability of order the classical recurrence time.

arXiv comment8 pages, 3 figures, matches published version

A New Look at the C0-formulation of the Strong Cosmic Censorship Conjecture

Abstract

References in corpus (16)

A New Look at the $C^{0}$ -formulation of the Strong Cosmic Censorship Conjecture