Thermodynamics and Hawking Radiation of Black Holes

Abstract

After a short review of spacetime singularities, blackholes, we introduce one with the laws of blackhole mechanics and the laws of ordinary thermodynamics. We discuss the remarkable analogy between the laws of blackhole mechanics and the laws of thermodynamics. By Bekenstein proposal we explain the flaws arises when one attempts to draw an analogy between them. We study the Bekenstein -Hawking entropy, evidence of blackhole entropy, interpretation of blackhole entropy, the linearity of blackhole entropy with its horizon area , the problem of blackhole entropy and using thermodynamic relation we obtain Bekenstein-Hawking entropy, Hawking temperature and some intensive parameters of some different kinds of blackholes. In this thesis, we also study the Hawking radiation, its nature and a parallel discussion with blackbody radiation. The luminosity and lifetime of blackholes are also studied. By applying Parikh-Wilczek's semi-classical tunneling method we obtain the emission rate of massless uncharged particle and the massive charged particles at the event horizon of blackholes. Finally, we obtain the emission rate at the event horizon of some kinds of blackholes by applying a new method known as Hamilton-Jacobi method.