School and Conference on Modern Mathematical Physics

9 - 14 September 2019, Belgrade, Serbia


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    E-mail: mphys10@ipb.ac.rs


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.


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics (University of Belgrade)
Belgrade, Serbia
Mathematical Institute (Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science (University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia


Institute of Nuclear Sciences "VinĨa" (University of Belgrade)
Belgrade, Serbia
Institute of Physics (University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics (University of Belgrade)
Belgrade, Serbia
Faculty of Sciences (University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering (University of Belgrade)
Belgrade, Serbia
SEENET-MTP (Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia