Bekenstein-Hawking Entropy by Energy Quantization from Different Black Holes

Abstract

We investigate the Bekenstein-Hawking entropy from different types of non-rotating black holes in de Sitter and Anti-de Sitter spaces by using the energy quantization mechanism in analogy with Bohr’s atomic model. We quantize the energy of the particle from the quantization of angular momentum. We also investigate the change of entropy between two nearby states as well as the thermal emission rate. In the limiting case all the results coincide with one another for the black holes in de Sitter and Anti- de Sitter spaces. The thesis is organized as follows: In chapter 1 we provide a brief discussion about our work of studying Bekenstein-Hawking entropy from black hole spacetime. In chapter 2 to 7 by using the quantization method we investigate the Lagrangian and canonical momenta of test particle, Radial motion and Effective Potential, Quantization of Circular Orbit, Energy quantization and Hawking Radiation for Schwarzschild, Schwarzschild-de Sitter (SdS), Schwarzschild Anti-de Sitter (SAdS), Reissner-Nordström (RN), Reissner-Nordström-de Sitter (RNdS), Reissner-Nordström Anti-de Sitter (RNAdS), black holes. Our new process is universally robust and the entropy framework given in this work indeed support the new perspective on quantum properties of gravity beyond classical physics, however, suggests a new idea to unify gravity with quantum theory and in the limiting case, the results are in line with that obtained by Sakalli et al. and He et al.’s method of the black hole.