Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics

Abstract

A slowly rotating black hole solution in Einstein-Maxwell-dilaton gravity was considered. Having used the obtained solution we investigated thermodynamic functions such as black hole's temperature, entropy and heat capacity. In addition to examine thermodynamic properties of the black hole extended technique was applied. The equation of state of Van der Waals type was obtained and investigated. It has been shown that the given system has phase transitions of the first as well as of the zeroth order for the temperatures below a critical one which is notable feature of the black hole. A coexistence relation for two phases was also considered and latent heat was calculated. In the end, critical exponents were calculated.

arXiv comment23 pages, 9 figures

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• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• New class of exact solutions to Einstein-Maxwell-dilaton theory on four-dimensional Bianchi type IX geometry
• Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
• Bianchi IX geometry and the Einstein-Maxwell theory
• Trajectories of photons around a rotating black hole with unusual asymptotics
• Revisiting particle circular orbits as probes of black hole phase transitions
• Exact Dynamical Black Hole Solutions in Five or Higher Dimensions