Extended Thermodynamics of Self-Gravitating Skyrmions
Abstract
A modification of the hedgehog ansatz has recently led to novel exact black hole solutions with selfgravitating SU(2) Skyrme fields. Considering a negative cosmological constant the black holes are not asymptotically anti-de Sitter (AdS) but rather asymptote to an AdS version of Barriola--Vilenkin spacetime. We examine the thermodynamics of the system interpreting the cosmological constant as a bulk pressure. We use the standard counterterm method to obtain a finite Euclidean action. For a given coupling of the matter action, the system behaves as does a charged AdS black hole in the fixed charged ensemble. We find that in the limit case when the Skyrme model becomes a nonlinear sigma model the system exhibits a first order phase transition of Hawking--Page type. The universality class of these Einstein--Skyrme black holes is that of van der Waals.
Keywords
Cite
@article{arxiv.1901.02784,
title = {Extended Thermodynamics of Self-Gravitating Skyrmions},
author = {Daniel Flores-Alfonso and Hernando Quevedo},
journal= {arXiv preprint arXiv:1901.02784},
year = {2019}
}
Comments
Revised version published in CQG