paper

Phase transitions of black strings in dynamical Chern-Simons modified gravity

arXiv:2111.00912 · doi:10.1103/PhysRevD.105.024050

Abstract

We study conserved charges and thermodynamics of analytic rotating anti-de Sitter black holes with extended horizon topology -- also known as black strings -- in dynamical Chern-Simons modified gravity. The solution is supported by a scalar field with an axionic profile that depends linearly on the coordinate that spans the string. We compute conserved charges by making use of the renormalized boundary stress-energy tensor. Then, by adopting the Noether-Wald formalism, we compute the black string entropy and obtain its area law. Indeed, the reduced Euclidean Hamiltonian approach shows that these methods yield a consistent first law of thermodynamics. Additionally, we derive a Smarr formula using a radial conservation law associated to the scale invariance of the reduced action and obtain a Cardy formula for the black string. A first-order phase transition takes place at a critical temperature between the ground state and the black string, above which the black string is the thermodynamically favored configuration.

arXiv commentv1: 27 pages. Comments welcome; v2: Title slightly changed, references included, clarifications added; v3: 29 pages, Comments added, Accepted for publication in PRD

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