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arXiv · 2502.12687

Black Hole Chemistry Knows Extra Dimensions

Kyung Kiu Kim·Jeongwon Ho·Seungjoon Hyun·Taehyeon Song
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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.

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Kyung Kiu Kim, Jeongwon Ho, Seungjoon Hyun, Taehyeon Song. 2025-02-18. Black Hole Chemistry Knows Extra Dimensions. https://arxiv.org/abs/2502.12687

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