Simpson-Visser-AdS Black Holes: Thermodynamics and Binary Merger

TL;DR

This paper explores the thermodynamics and merger dynamics of Simpson-Visser regularized Anti-de Sitter black holes, revealing unique phase transition behaviors and effects of the regularization parameter on post-merger constraints.

Contribution

It introduces a novel regularization scheme for AdS black holes, analyzes their thermodynamic properties, phase structure, and merger scenarios with new insights into the impact of the regularization parameter.

Findings

Discovered non-trivial phase transition properties dependent on the SV-regularization parameter.

Derived an entropy formula consistent with the regularized geometry.

Found that bounds on post-merger black hole mass vary non-monotonically with the regularization parameter.

Abstract

In this article, we performed Simpson-Visser (SV)-regularization scheme to Anti-de Sitter (AdS) black holes and then studied thermal properties of the resulting spacetime geometry. We considered the validity of the first law of black hole thermodynamics in this case and derived an entropy formula consistent with this new regular geometry. Next, we carried out the free energy analysis and studied the phase structure of these black holes. We discovered non-trivial phase transition properties dependent on the SV-regularization parameter. We also considered the validity of the second law of black hole thermodynamics and analyzed a merger scenario of two equal mass SV-regular black holes. In particular, we investigated the impact of the SV-regularization parameter on the constraints on post-merger black hole mass. Intrestingly, we found that the bounds initially increase and then fall sharply with increasing the SV-regularization parameter. All results are compared with standard black holes for vanishing SV-regularization parameter.