Research On The Thermal Radiation Of Black Holes In Generalized Uncertainty Principle

I present the relevant work done during postgraduate in this thesis.It contains the following parts.In the first chapter,I briefly introduce the research progress of the tunneling radiation and the related thermodynamic properties.In the second chapter,I investigate the tunneling behavior of scalar particles in an anti de Sitter space-time where the generalized uncertainty principle are considered.We first derive the generalized Klein-Gordon equation.Using the semi-classical tunneling model,we find that the real temperature of the black hole is not only determined by the black hole's parameters,but also by the quantum number(the energy,mass and angular momentum etc)of the emitted particle.It is lower than the original Hawking temperature.This result implies that the quantum gravity corrections slow down the increase of the black hole temperature and the residual mass is produced.The research of charged fermions' tunneling behavior from the horizon of a Kerr-Newman black hole affected by quantum gravitational effects is discussed in the third chapter.Considering the influence of quantum gravity effects,we first get the generalized Dirac equation.Our investigation shows that the corrected Hawking temperature is not only determined by the black hole parameters,but also affected by the energy,angular momentum and mass of the emitted particle.Quantum gravity corrections show down the black hole's evaporation.Meanwhile,we find that the black hole's temperature is affected by the azimuth angle.The modification of the first laws of thermodynamics at the black hole horizon and the cosmological horizon of the Schwarzschild de Sitter black hole and the apparent horizon of the Friedmann-Robertson-Walker cosmology are derived by the surface tensions,respectively,discussed in the fourth chapter.The cosmological constant is first seen as a fixed constant and the modified first laws at the horizons are gotten by the surface tensions.Then,the constant is regarded as the pressure.The first laws at the horizons are derived again.The law at the apparent horizon takes the sameform as that at the cosmological horizon,but is different from that at the black hole horizon.The fifth chapter is devoted to a summary of this thesis and prospects for the future work.