Probing inside a charged hairy black hole in massive gravity

TL;DR

This paper explores the internal structure of charged hairy black holes in massive gravity, revealing how different parameters influence their interior evolution, including phenomena like Einstein-Rosen bridge collapse and Kasner cosmology.

Contribution

It provides a detailed analysis of black hole interior dynamics in massive gravity, highlighting the effects of large massive gravity parameters on the evolution epochs.

Findings

Interior evolution features multiple epochs similar to holographic superconductors

Large massive gravity parameters alter the standard interior epochs

Inner horizon and Kasner inversion can be suppressed or absent

Abstract

In this paper, we investigate the internal structure of a charged hairy black hole solution in the non-linear massive gravity. We first consider the impact of various configurations of massive gravity on the condensate operator and then probe the black hole interior dynamics. Like a standard holographic superconductor system, just below the critical temperature, the interior evolves through several distinct epochs, including a collapse of the Einstein-Rosen bridge, Josephson oscillations of the scalar field, and finally a Kasner (or Kasner inversion) cosmology. However, for the large massive gravity parameter, we see distinguishing features for the interior dynamics. In this regime, at a given temperature, the Einstein-Rosen bridge collapse and subsequent Josephson oscillations epochs completely disappear from the interior dynamics and the final Kasner cosmology epoch starts exactly after the would-be inner horizon and the system does not experience the Kasner inversion epoch.