Universality on thermodynamic relation with corrections in Einstein-Bel-Robinson gravity Black hole

Abstract

The generalized thermodynamic extremum relation, as proposed by Goon and Penco, establishes a novel theoretical framework for the study of spacetime thermodynamics. However, extant investigations generally assume that the black hole state parameter is solely a first-order function of the perturbation parameter when exploring the Goon-Penco relation in diverse spacetime contexts. An analytic expression for the perturbation parameter as a function of the black hole entropy can be expressed by treating the black hole mass as constant. The present study addresses this limitation and provides insight into the universal Goon-Penco relation when multiple thermodynamic state parameters behave as higher order functions of the perturbation parameters. Notably, we have not only established a universal relational formula in the case of multiple state variables, but more importantly, we have put forward an innovative conjecture that reveals the existence of a universal relation between displaced thermodynamic quantities in spacetime in the context of an arbitrary black hole. These theoretical breakthroughs are expected to open up new exploration directions for quantum gravity research.

9 pages

References in corpus (27)

• P-V criticality of charged AdS black holes
• Symmetries and Strings in Field Theory and Gravity
• Black hole chemistry: thermodynamics with Lambda
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Black Hole Chemistry
• Einsteinian cubic gravity
• Proof of the Weak Gravity Conjecture from Black Hole Entropy
• The Weak Gravity Conjecture: A Review
• Black holes in Einsteinian cubic gravity
• A Universal Relation Between Corrections to Entropy and Extremality
• Higher derivative corrections to Kerr black hole thermodynamics
• Entropy Bounds on Effective Field Theory from Rotating Dyonic Black Holes
• Weak Gravity Conjecture, Black Branes and Violations of Universal Thermodynamic Relation
• On the extremality bound of stringy black holes
• Higher derivative contributions to black hole thermodynamics at NNLO
• The emergence of universal relations in the AdS black holes thermodynamics
• Schwarzschild-type black holes in Starobinsky-Bel-Robinson gravity
• $D=5$ Rotating Black Holes in Einstein-Gauss-Bonnet Gravity: Mass and Angular Momentum in Extremality
• WGC and WCC for charged black holes with quintessence and cloud of strings
• The Entropy Shift and Extremality Shift at Zero Temperature
• Universal thermodynamic relations with constant corrections for rotating AdS black holes
• Universality on thermodynamic relation with corrections in de Sitter black holes
• Thermodynamic relation of accelerating black holes in anti-de Sitter spacetime
• Quantum Corrections to Pair Production of Charged Black Holes in de Sitter Space
• Black hole solutions to Einstein-Bel-Robinson gravity