Abstracts

Mykola Stetsko

Black holes in the theory with nonminimal derivative coupling and some aspects of their thermodynamics

We consider black hole solutions in the scalar-tensor theory of gravity with nonminimal derivative coupling between gravitational and scalar degrees of freedom. Some new solutions are obtained when additional material fields minimally coupled to gravity are taken into account, namely we consider Born-Infeld and power-law electromagnetic fields. Some aspects of thermodynamics of the obtained solutions are studied. To derive the first law of black hole thermodynamics Wald's approach was used. We also analyzed Weyl anomaly due to the presence of cosmological constant in the action and corresponding solutions.