Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions

2011/01/01 by Jozef Skákala, Jozef Skakala, Skakala, Jozef · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.1107.2978

PhD thesis, 207 pages

openalex publication_date 2011/01/01 · arxiv created 2011/07/15 · arxiv updated 2011/07/18 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

This thesis is based on three different projects, all of them are directly linked to the classical general theory of relativity, but they might have consequences for quantum gravity as well. The first chapter deals with pseudo-Finsler geometric extensions of the classical theory, these being ways of naturally representing high-energy Lorentz symmetry violations. The second chapter deals with the problem of highly damped quasi-normal modes related to different types of black hole spacetimes. Besides the astrophysical meaning of the quasi-normal modes, there are conjectures about the link between the highly damped modes and black hole thermodynamics. The third chapter is related to the topic of multiplication of tensorial distributions.

Citations

• Bi-refringence versus bi-metricity
• Space-time anisotropy: theoretical issues and the possibility of an observational test
• First-order quantum perturbation theory and Colombeau generalized functions
• On the geometry of impulsive gravitational waves
• Emergent rainbow spacetimes: Two pedagogical examples
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• The use of Generalised Functions and Distributions in General Relativity
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• Quasinormal modes: the characteristic `sound' of black holes and neutron stars
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Cited by

• Emergent Models for Gravity: an Overview of Microscopic Models

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