AdS Black Holes with a Bouncing Interior

TL;DR

This paper constructs AdS black hole solutions with scalar fields that cause the interior to undergo infinite Kasner bounces, revealing a complex bouncing interior structure that approaches a Schwarzschild singularity.

Contribution

It provides an analytic model of black hole interiors with bouncing scalar fields, detailing the sequence and characteristics of Kasner epochs and bounces.

Findings

Interior exhibits infinite Kasner epochs

Analytic formulas for bounces and timings

Interior approaches Schwarzschild singularity

Abstract

We construct planar black hole solutions of AdS gravity minimally coupled to a scalar field with an even, super-exponential potential. We show that the evolution of the black hole interior exhibits an infinite sequence of Kasner epochs, as the scalar field rolls back and forth in its potential. We obtain an analytic expression for the `bounces' between each Kasner epoch and also give an explicit formula for the times and strengths of the bounces at late interior times, thereby fully characterizing the interior evolution. In this way we show that the interior geometry approaches the Schwarzschild singularity at late times, even as the scalar field is driven higher up its potential with each bounce.