Weak gravity conjecture, black branes and violations of universal thermodynamics relation

Abstract

The universal thermodynamic relations between corrections to entropy and extremality for various black hole solutions, like rotating-AdS black holes, charged black holes, rotating black holes in massive gravity, etc., have been studied by modifying general relativity. In this paper, we consider a number of the black brane in different structures, such as 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. Then, we study universal thermodynamic relations by using a small constant correction added to the action. We conclude that black brane violates the universal thermodynamic relations. In other words, these universal thermodynamic relations are not valid in the black brane structure.