XXVI DAE-BRNS High Energy Physics Symposium 2024

Thermodynamic curvature of charged Gauss-Bonnet black holes with AdS2 horizons

Not scheduled

20m

Swatantrata Bhavan, Banaras Hindu University, Varanasi

Postar Formal theory

Speaker

Poulami Mukherjee (Indian Institute of Technology Bhubaneswar)

Description

In this paper, we study the phase structure and thermodynamic curvature of charged topological Gauss-Bonnet black holes in d-dimensional anti-de Sitter spacetime. By calculating the scalar curvature of the Ruppeiner geometry and analyzing its behaviour near the phase transition, we can gain empirical insights of the microstructure characteristics of the system based on the sign and magnitude of thermodynamic curvature. At low temperature, we compute thermodynamic curvature for charged Gauss-Bonnet black holes with $Ad{S}_2$ near horizon geometry, and containing a zero temperature horizon radius $r_h$, in a spacetime which asymptotically approaches $Ad{S}_d$ . Both attraction and repulsion-dominated regions arise, generally governed by the black hole’s electric charge, Gauss-Bonnet coupling, and horizon radius. The curvature is computed through a semi-classical analysis, as well as with quantum fluctuations included.