Weak Gravity Conjecture, Black Branes and Violations of Universal Thermodynamic Relation

TL;DR

This paper investigates how certain black brane solutions in modified gravity theories violate previously assumed universal thermodynamic relations between entropy and extremality corrections.

Contribution

It demonstrates that universal thermodynamic relations do not hold for black branes in various modified gravity frameworks, challenging prior assumptions.

Findings

Black branes violate universal thermodynamic relations

Corrections to entropy and extremality are not universally linked

Different gravity theories show similar violations

Abstract

The universal thermodynamic relations between corrections to entropy and extremality for various black holes solutions have been studied. In this regard, we hereby consider a number of different black brane solutions in different structures for perturbative corrections to general relativity. These are, namely, black brane solution in Rastall AdS massive gravity, Einstein-Yang-Mills AdS black brane solution in massive gravity and general anisotropic black brane in Horava-Lifshitz gravity. We calculate both the entropy and extremality bound by introducing a small constant correction to the action. Remarkably, we find that black brane violates the universal thermodynamic relations. In other words, a universal relation between corrections to entropy and extremality are not valid in the black brane structure.