Holographic Entanglement and Causal Shadow in Time-Dependent Janus Black Hole

TL;DR

This paper investigates how time-dependent Janus deformations affect entanglement entropy and phase transitions in a two-sided black hole, revealing the influence of causal shadow regions on holographic entanglement.

Contribution

It introduces a study of time-dependent Janus black holes and their impact on entanglement entropy and phase transitions, highlighting the role of causal shadow regions.

Findings

Janus deformation causes earlier phase transitions in entanglement entropy.

Large causal shadow regions can eliminate phase transitions.

The study enhances understanding of holographic entanglement in dynamic black holes.

Abstract

We holographically compute an inter-boundary entanglement entropy in a time-dependent two-sided black hole which was constructed in hep-th/0701108 by applying time-dependent Janus deformation to BTZ black hole. The black hole contains "causal shadow region" which is causally disconnected from both the conformal boundaries. We find that the Janus deformation results in an earlier phase transition between the extremal surfaces and that the phase transition disappears when the causal shadow is sufficiently large.