Black Hole Chemistry Knows Extra Dimensions
Abstract
: In this note, we study an extra dimension effect on the black hole chemistry in the 8-dimensional Einstein-Yang-Mills-Maxwell theory. The base spacetime contains 4- dimensional compact manifolds and an instanton on top of those. We demonstrate how the extra dimensions affect the phase transition and viable black hole sizes in the 4-dimensional Einstein frame through the black hole chemistry. We focus on asymptotically anti-de Sitter spacetimes for the effective 4-dimensional model obtained by a dimensional reduction. The extra-dimension size determines thermodynamic pressure, and the thermodynamic volume is roughly the horizon size of black holes. Thus, the extra dimension and black hole sizes are related as a conjugate pair of thermodynamic variables.
Cite
@article{arxiv.2502.12687,
title = {Black Hole Chemistry Knows Extra Dimensions},
author = {Kyung Kiu Kim and Jeongwon Ho and Seungjoon Hyun and Taehyeon Song},
journal= {arXiv preprint arXiv:2502.12687},
year = {2025}
}
Comments
31 pages, 11 figures, 1 Table, Some claims were deleted