Universal thermodynamic relations with constant corrections for rotating AdS black holes

Abstract

In [Phys. Rev. Lett. 124, 101103 (2020)], a universal relation between corrections to entropy and extremality was proposed. The relation was also found to exactly hold for the four-dimensional charged AdS black hole. In this paper, we extend the study to the rotating BTZ and Kerr-AdS black holes when a constant correction to General Relativity is considered for the first time. The entropy and extremality bound are calculated, and they have a closely dependent behavior with the coupling parameter of the constant correction. We confirm the universal relation for the rotating AdS black holes. Furthermore, taking into consideration of the shift of the angular momentum, we confirm one more new universal relation for the rotating cases. In particular, we state a conjecture on a universal relation, which gives a universal conjecture relation between the shifted thermodynamic quantities for arbitrary black hole background. We believe that these universal relations will shed new light on the region of the quantum gravity.

arXiv comment8 pages, 2 figures

References in corpus (16)

• The Black Hole in Three Dimensional Space Time
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• The String Landscape and the Swampland
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Naturalness and the Weak Gravity Conjecture
• Weak Gravity Conjecture from Unitarity and Causality
• A Tower Weak Gravity Conjecture from Infrared Consistency
• Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity
• Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter
• A Universal Relation Between Corrections to Entropy and Extremality
• Entropy Bounds on Effective Field Theory from Rotating Dyonic Black Holes
• Thermodynamics of 4D Dilatonic Black Holes and the Weak Gravity Conjecture
• The Weak Gravity Conjecture, RG Flows, and Supersymmetry
• Anomalies in Noncommutative Dipole Field Theories
• ${\alpha }^{\prime }$ corrections of Reissner-Nordström black holes

Cited by in corpus (6)

• Duality and Axionic Weak Gravity
• Weak Gravity Conjecture, Black Branes and Violations of Universal Thermodynamic Relation
• Universality on thermodynamic relation with corrections in de Sitter black holes
• Thermodynamic relation of accelerating black holes in anti-de Sitter spacetime
• Universality on thermodynamic relation with corrections in Einstein-Bel-Robinson gravity Black hole
• Universality on thermodynamic relation with corrections in higher-dimensional de Sitter black holes