Regular Article - Theoretical Physics
Slowly rotating Einstein–Maxwell-dilaton black hole and some aspects of its thermodynamics
Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Str., Lviv, UA, 79005, Ukraine
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Accepted: 1 March 2019
Published online: 16 March 2019
A slowly rotating black hole solution in Einstein–Maxwell-dilaton gravity is considered. Using the obtained solution we investigate thermodynamic functions such as the black hole’s temperature, entropy and heat capacity. In addition, to examine the thermodynamic properties of the black hole an extended technique is applied. The equation of state of Van der Waals type is obtained and investigated. It has been shown that the given system has phase transitions of the first and of the zeroth order below a critical temperature, which is a notable feature of the black hole. A coexistence relation for two phases is also considered and the latent heat is calculated. In the end, critical exponents are calculated.
© The Author(s), 2019