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arXiv · 2306.06733

Maxwell construction and multi-criticality in uncharged generalized quasi-topological black Holes

Mengqi Lu·Robert B. Mann
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Abstract

We demonstrate the existence of $N$-tuple critical points of uncharged AdS black holes in generalized quasi-topological theories. The criticality is shown to have a geometrical interpretation described by the Maxwell's equal area rule. We present a compact reformulation of the area rule and identify a criterion for the emergence such points. Using this criterion, we construct several multi-critical points with genuine generalized quasi-topological densities, including a quadruple and a quintuple points.

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Mengqi Lu, Robert B. Mann. 2023-06-11. Maxwell construction and multi-criticality in uncharged generalized quasi-topological black Holes. https://arxiv.org/abs/2306.06733

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