Thermal phase transitions of dimensionally continued AdS black holes

Xiao-Mei Kuang and Olivera Miskovic
Phys. Rev. D 95, 046009 – Published 21 February 2017

Abstract

We study the thermal phase transitions of charged black holes in dimensionally continued gravity in anti–de Sitter space. We find the van der Waals–like phase transition in the temperature-entropy plane of the black holes with spherical horizons in even dimensions, and there is no such phase transition of the black holes with flat and hyperbolic geometries. Near the critical inflection point, the critical exponent is computed and its value does not depend on the dimension. The Maxwell equal area law is checked to be fulfilled in the temperature-entropy diagram for the first order phase transition. In odd dimensions, there are no thermal phase transitions for the black hole with any geometry of the horizon.

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  • Received 21 December 2016

DOI:https://doi.org/10.1103/PhysRevD.95.046009

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Xiao-Mei Kuang* and Olivera Miskovic

  • Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, Chile

  • *xmeikuang@gmail.com
  • olivera.miskovic@pucv.cl

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Issue

Vol. 95, Iss. 4 — 15 February 2017

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