Applications of geometric algebra to black holes and Hawking radiation

2004/12/13 by Sandi Setiawan, Setiawan, S.
Physics and Astronomy · #Advanced Differential Geometry Research #Classical Physics (physics.class-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.physics/0412070

openalex publication_date 2004/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The classical essence of black hole radiation
• Quantum Fields in Curved Space
• The four laws of black hole mechanics
• Particle creation by black holes
• Generalized second law of thermodynamics in black-hole physics
• What happens when an accelerating observer detects a Rindler particle
• On Continued Gravitational Contraction

Related

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• Alternative Derivations of Hawking Radiation
• Field theory aspects of cosmology and black holes
• Hawking radiation from stationary black holes using gravitational anomaly
• Recent Attempts in the Analysis of Black Hole Radiation