Research On Thermodynamics Of Static Dyonic AdS Black Hole In The ω-deformed Kaluza-klein Supergravity Theory

Black hole thermodynamics is one of the most important subjects in black hole research. According to recent study, the first law of black hole thermodynamics should be modified by a new pair of conjugate variables(X,Y) in dyonic Ad S spacetimes. It is worthy to mention that H. Lu et al. propose(X,Y) as the modification in the first law. while D.D.K. Chow et al. think that the mass is not well well integrable. In this thesis, we will investigate the same subject.Firstly I present the background and motivication of this work. Then, I review some exact black hole solutions and the basis of general relativity as well as black hole thermodynamics. Section 3 introduces some known methods to calculate conserved charges, such as covariant phase space approach developed by Wald, linearized gravity method by Arnowitt, Deser, Misner(ADT), cohomological approach by Barnich et al., quasi-local ADT formalism by Kim et al.. In section 4, I repeat the work by H. Lu et al. about thermodynamics of the static dyonic spherically-symmetric Ad S black hole in Kaluza-Klein supergravity theory, and then study the thermodynamics of static dyonic spherically-symmetric Ad S black hole in ω-deformed Kaluza-Klein supergravity theory. We find the modification of first law of black hole thermodynamics, and calculate the conserved charges of the black hole by using quasi-local ADT formalism developed by Kim et al.. We check the modification of first law of black hole thermodynamics. Finally the thesis is ended with some comments.