| Hawking radiation of black hole is an important discovery in theoretical physics, which is an output of the combination among general relativity, quan-tum mechanics and thermodynamic. After studying almost40years, poeple no longer doubt its theoretical rightness, but its experimental test has not been pre-sented till now. Nevertheless, the property of black hole has revealed some basic concepts of the physics, which is extremely significant in the history of science and worth further discussion. This paper is devoted to the investigation of some basic problems concerned by black hole physicist, including Hawking radiation, grey-body factor and evolution of a scalar field in the Einstein-Power-Maxwell theory and the non-minimal RβF2-type coupled Einstein-Maxwell theory. Two works have been listed as follows:Firstly,(2+1)-dimensional Einstein-Power-Maxwell black hole is a black hole solution which without imposing the traceless condition to Maxwell’s energy mo-mentum tensor. By using analytical method, we study the dynamical evolution of the massless scalar field in the background of (2+1)-dimensional Einstein-Power-Maxwell black hole. We obtain an analytical expression for the greybody factor which is valid for any frequency and shows that the greybody factor increases as the electric chargeQ increases and approaches to unity for large frequencies. We also find the quasinormal modes of the black hole which tell us that the Einstein-Power-Maxwell spacetime is very stable.Secondly, by using analytical method, we investigate the Hawking radiation and greybody factor for a massless scalar field in the background of black holes in non-minimal RβF2-type coupled Einstein-Maxwell theory. For different asymp-totic structures caused by the real power number,β, we find that the influences of β on the Hawking radiation and greybody factor are different. We also show that the different coupling constant aο and charge q also affects the Hawking radiation and greybody factor. |
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