Bulk-boundary and RPS Thermodynamics from Topology perspective

In this article, we investigate the bulk-boundary and restricted phase space (RPS) thermodynamics of Rissner-Nordstr\"om (R-N) AdS and 6-dimensional charged Gauss-Bonnet AdS black holes. Also, we examine the topological characteristics of the considered black holes and compare them with the ext...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Sadeghi, Jafar, Alipour, Mohammad Reza, Saeed Noori Gashti, Afshar, Mohammad Ali S
Format: Article
Language:English
Subjects:
Critical point
Formalism
Thermodynamics
Topology
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, we investigate the bulk-boundary and restricted phase space (RPS) thermodynamics of Rissner-Nordstr\"om (R-N) AdS and 6-dimensional charged Gauss-Bonnet AdS black holes. Also, we examine the topological characteristics of the considered black holes and compare them with the extended thermodynamics results. In fact, we have found that the topological behavior of the bulk-boundary thermodynamics is the same as that of the extended thermodynamics, whereas the RPS thermodynamics exhibits a distinct behavior. We also demonstrate that within the RPS formalism, there is only one critical point with a topological charge of +1 \((Q_t=+1)\). Additionally, for RPS formalism, the inclusion of higher derivative curvature terms in the form of Gauss-Bonnet gravity does not alter the topological classification of critical points in charged AdS black holes.
ISSN:2331-8422
DOI:10.48550/arxiv.2306.16117