The Study On Several Issues Of Gravity Theory

In2009, Horava proposed a power-counting renormalizable gravity theory based on Lifshitz anisotropic scalar, which is Horava-Lifshitz (HL) gravity. It is interesting that the properties of black holes and cosmology on this new power-counting renormalizable gravity theory. Based on HL gravity, Hawking radiation and holographic superconductor in HL gravity were studied in this paper.Gravity theory is the important component of theoretical physics. The study on gravity theory in this paper mainly includes the following several parts:In chapter1, we present the background needed in this paper which are contained the black hole, Horava-Lifshitz gravity and holographic superconductor.In chapter2, the influences of self-gravitational interaction on the Hawking radiation are studied both for (3+1) and (4+1) dimensional black holes in z=4Horava-Lifshitz gravity. We obtained the imaginary part of the radial outgoing particles’ action and the tunneling entropies of the radial outgoing particles use the geodesic method. It is found that the tunneling entropies Sb (3+1) and SB<4+1> are consistent with the thermodynamical entropies SBH<3+1) and SBH<4+1>, respectively. The studing of quantum tunneling help us to understand the Horava-Lifshitz gravity.In chapter3, we reevaluate the Hawking radiation in IR deformed Horava-Lifshitz gravity (IRDHL)by using recent new Hamilton-Jacobi method (NHJM). In particular, a thorough analysis is considered both in asymptotically flat Kehagias-Sfetsos and asymptotically non-flat Park models in IRDHL. We find the NHJM offers simplifications on the technical side. The modification in the entropy expression is given by the physical interpretation of self-gravitation of the Hawking radiation in this new Hamilton-Jacobi (HJ) perspectives. We offer another proof to support the existence of logarithmic modified entropy.In chapter4, we calculate the holographic superconductor, and reproduce the condensate behavior and conductivity of basic holographic superconductor model. The the image of condensed and frequency dependent conductivity are obtained. And also analyse the holographic superconductors with various condensates model.