Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics

TL;DR

This paper derives and analyzes the thermodynamic properties of a static, spherically symmetric Einstein-Yang-Mills-dilaton black hole, revealing phase transitions and critical behavior in extended phase space.

Contribution

It presents a new black hole solution in Einstein-Yang-Mills-dilaton theory and explores its thermodynamics, including phase transitions and critical exponents.

Findings

Black hole solution with specific thermodynamic properties

Identification of first and zeroth order phase transitions

Calculation of critical exponents for the black hole

Abstract

A static black hole with spherical symmetry is obtained and examined in the framework of Einstein-Yang-Mills-dilaton theory. The obtained black hole solution allowed us to derive and investigate entropy, temperature and heat capacity. To better examine the thermodynamics of the black hole extended phase space is also used. On this ground the equation of state is obtained and studied. We have also investigated the Gibbs free energy and it is shown that below the critical temperature the system demonstrates phase transitions of the first as well as of the zeroth order which is notable feature for other types of dilaton black holes. At the end critical exponents for the black hole are calculated.