Microstructure of five-dimensional neutral Gauss-Bonnet black hole in anti-de Sitter spacetime via $P-V$ criticality

TL;DR

This paper analyzes the microstructure of a five-dimensional neutral Gauss-Bonnet black hole in anti-de Sitter space, revealing that the microstructure interactions are predominantly attractive and remain consistent across phase transitions.

Contribution

It provides an analytical study of black hole microstructure using Ruppeiner geometry, specifically for five-dimensional Gauss-Bonnet black holes in AdS space, highlighting microstructure interactions during phase transitions.

Findings

Curvature scalar diverges near critical point.

Microstructure interactions are predominantly attractive.

Microstructure nature remains unchanged during phase transition.

Abstract

In this article, we analytically investigate the microstructure of a five-dimensional neutral Gauss-Bonnet black hole, in the background of anti-de Sitter spacetime, using scalar curvature of the Ruppeiner geometry constructed via adiabatic compressibility. The microstructure details associated with the small-large black hole phase transition are probed in the parameter space of pressure and volume. The curvature scalar shows similar properties for both phases of the black hole, it diverges in the vicinity of critical point and approaches zero for extremal black holes. We show that the dominant interaction among black hole molecules is attractive. This study also affirms that the nature of the microstructure interaction remains unchanged during the small-large black hole phase transition, even though the microstructures are different for both phases.