dorsal/arxiv
View SchemaApplications of geometric algebra to black holes and Hawking radiation
| Authors | S. Setiawan |
|---|---|
| Categories | |
| ArXiv ID | physics/0412070 |
| URL | https://arxiv.org/abs/physics/0412070 |
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.
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"abstract": "We discuss the applications of Gauge Theory of Gravity (GTG) within the\nlanguage of geometric algebra to black holes and Hawking radiation.\nApplications include the Unruh effect, the Dirac and Klein-Gordon equations in\nseveral backgrounds, such as the de Sitter and Rindler metrics as well as\nspherically and axially black hole backgrounds. The analysis is also\ngeneralised to allow the presence of magnetic monopoles. We rederive the\nHawking temperature for all cases. The derivation of both the correct\nFermi-Dirac and Bose-Einstein statistics as well as the Hawking temperature may\nsuggest that the method of calculations we employ here - geometric algebra - is\nreally powerful in dealing with the problems in various strong gravitational\nbackgrounds.",
"arxiv_id": "physics/0412070",
"authors": [
"S. Setiawan"
],
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"physics.gen-ph",
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"title": "Applications of geometric algebra to black holes and Hawking radiation",
"url": "https://arxiv.org/abs/physics/0412070"
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