The Thermal Characters Of Quantum Field Near The Black Hole

The paper gives a summary of the author's research work in three aspects: (1) discussing the quantum field thermal characters near the general static spherically symmetric black holes and studying the modified Stefan-Boltzmann's law and other state equations; (2) discussing the state equations near the general spherically symmetric static black holes by using the modified equation of state density due to the generalized uncertainty relation; (3) studying Hawking radiation of the non-static black holes. There are five chapters in the paper. Chapter 1 provides a review about the background and theories related to the work of the author. Chapter 2,3,4 summarize the research work of the author. Chapter 5 gives the summarization and prospects of the research work. .The first work described in Chapter 2 is the research on the quantum field thermal characters near the general static spherically symmetric black holes. First, we form the null-tetrads and calculate relate spin coefficients and every parts of Weyl tensor respectively. Then we calculate the entropy densityσ,energy densityρ, pressure P and equation of state with new form which is different from the form for a perfect relativistic gas thermal equilibrium around the general static spherically symmetric black holes by the WKB approximation on the Teukolsky-type master equation which is obtained by using Newman-Penrose method, while massless fields with arbitrary spin fields satisfy the generalized Teukolsky-type master equation. The new result is useful for further related topic.The next work summarized in chapter 3 is the study of how the generalized uncertainty relation influence the calculation of the state equation near the general static spherically symmetric black holes. In this part the state equations for massless scalar( s =0), neutrino( s =12), electromagnetic( s =1), massless Rarita-Schwinger ( s =32)and gravitational field(s s =2) near the general spherically symmetric static black holes are investigated by using the modified equation of state density due to the generalized uncertainty relation. It is shown that...