Black Holes in AdS/BCFT and Fluid/Gravity Correspondence

TL;DR

This paper develops black hole solutions in the AdS/BCFT framework, linking boundary stress-energy tensors to fluid-like behavior and exploring thermodynamic properties, thus advancing the understanding of gravity duals for boundary conformal theories.

Contribution

It introduces a class of black hole solutions in AdS/BCFT with boundary stress-energy tensors, highlighting a special fluid-like case and its thermodynamics, bridging AdS/BCFT and fluid/gravity correspondence.

Findings

Existence of black hole solutions with boundary stress-energy tensors.

Identification of a special fluid-like boundary extension.

Analysis of thermodynamic properties of these solutions.

Abstract

A proposal to describe gravity duals of conformal theories with boundaries (AdS/BCFT correspondence) was put forward by Takayanagi few years ago. However interesting solutions describing field theories at finite temperature and charge density are still lacking. In this paper we describe a class of theories with boundary, which admit black hole type gravity solutions. The theories are specified by stress-energy tensors that reside on the extensions of the boundary to the bulk. From this perspective AdS/BCFT appears analogous to the fluid/gravity correspondence. Among the class of the boundary extensions there is a special (integrable) one, for which the stress-energy tensor is fluid-like. We discuss features of that special solution as well as its thermodynamic properties.