Geometric and thermodynamic volume of hairy black branes

Author:

Bordo Alvaro BallonORCID

Abstract

Abstract With the objective to generalize previous results found for a handful of explicit solutions, we study the extended thermodynamics of a black brane with minimally coupled scalar hair in D-dimensional asymptotically anti-de Sitter spacetimes. Using Komar integration and the Hamiltonian formalism to calculate the conserved charges, we obtain a Smarr relation that is applicable to a wide variety of solutions and suggests a more general definition of the thermodynamic volume. This volume is found to be proportional to the geometric volume, and a simple prescription is given to calculate the constant of proportionality. Moreover, the method of Hamiltonian perturbations yields an extended first law of thermodynamics for hairy black branes, thus giving a definition for their enthalpy. These results are then verified by applying them to some of the explicit solutions that exist in the literature.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The (Holographic) Chemistry of Black Holes;Springer Proceedings in Physics;2024

2. Analytical scalar field solutions on Lifshitz spacetimes;Physical Review D;2022-01-04

3. Holographic complexity of rotating black holes;Journal of High Energy Physics;2021-05

4. Holographic Complexity and Thermodynamic Volume;Physical Review Letters;2021-03-10

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