The Entropy and Temperature of Black Hole and Cosmological Event Horizons

Abstract

In this thesis the same Hawking temperature and Hawking-Bekenstein entropy of the black hole and cosmological event horizon are derived as was done by Hawking in the 1970s. Mass functions for the Schwarzschild, de Sitter and Schwarzschild-de Sitter spacetime are derived. Using the similarity between the derived laws of black hole mechanics with the laws of thermodynamics a temperature and entropy can be associated with both event horizons through a Wick rotation. For both event horizons the temperature is proportional to $\frac{1}{2\pi}$ the surface gravity and the entropy therefore is $\frac{1}{4}$ the area of the event horizon.