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arXiv · 2206.08716

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

Aditya Iyer·Alexander Y. Yosifov·Vlatko Vedral
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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.

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Aditya Iyer, Alexander Y. Yosifov, Vlatko Vedral. 2022-06-17. A New Look at the $C^{0}$-formulation of the Strong Cosmic Censorship Conjecture. https://doi.org/10.1088/1367-2630%2Fac6e81

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