Applications of geometric algebra to black holes and Hawking radiation

Abstract

We discuss the applications of Gauge Theory of Gravity (GTG) within the language of geometric algebra to black holes and Hawking radiation. Applications include the Unruh effect, the Dirac and Klein-Gordon equations in several backgrounds, such as the de Sitter and Rindler metrics as well as spherically and axially black hole backgrounds. The analysis is also generalised to allow the presence of magnetic monopoles. We rederive the Hawking temperature for all cases. The derivation of both the correct Fermi-Dirac and Bose-Einstein statistics as well as the Hawking temperature may suggest that the method of calculations we employ here - geometric algebra - is really powerful in dealing with the problems in various strong gravitational backgrounds.