Aspects of Black Hole Physics Beyond General Relativity: extra dimensions, horizon wave function and applications
Rogerio Teixeira Cavalcanti
TL;DR
This paper explores black hole physics beyond general relativity, focusing on extra dimensions, horizon wave functions, and their implications for Hawking radiation, gravitational lensing, and quantum black hole formation.
Contribution
It introduces effective models to identify deviations from general relativity in phenomena like Hawking radiation, lensing, and quantum black holes within extra-dimensional frameworks.
Findings
Deviations in Hawking radiation due to extra dimensions
Altered gravitational lensing patterns in effective models
Insights into quantum black hole formation beyond classical theories
Abstract
This work is devoted to investigate some consequences of black holes physics beyond the domain of general relativity, mainly in effective extra dimensional models. The investigation is carried along three gravitational effects, namely the Hawking radiation, the strong deflection of gravitational lensing and the formation of quantum black holes. A cosmological thick brane solution is also investigated. Effective theories and models provide a prominent approach for testing the limits of known theories and show what would be expected beyond that. Based on such idea we have used effective models for finding deviations of general relativity associated to each of the mentioned phenomena.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories
\thesistitle
Aspects of Black Hole Physics Beyond General Relativity: \supervisorDr. Roldão da Rocha Jr. \examiner Doutor em Física \addresses \subjectTheoretical Physics \universityFederal University of ABC \departmentCenter of Natural and Human Sciences \groupPrograma de Pós-Graduação em Física \facultyFaculty Name
\univname
Doctoral Thesis
\HRule\ttitle\stitle\HRule
Author:
\authorname
Supervisor:
\supname
*Thesis submitted to the Federal University of ABC (UFABC) in fulfillment of the requirements for the degree of Doctor of Philosophy in the field of Theoretical Physics.
Santo André
Brazil
2017
Abstract
\addchaptertocentry
Abstract
This work is devoted to investigate some consequences of black holes physics beyond the domain of general relativity, mainly in effective extra dimensional models. The investigation is carried along three gravitational effects, namely the Hawking radiation, the strong deflection of gravitational lensing and the formation of quantum black holes. A cosmological thick brane solution is also investigated. Effective theories and models provide a prominent approach for testing the limits of known theories and show what would be expected beyond that. Based on such idea we have used effective models for finding deviations of general relativity associated to each of the mentioned phenomena.
Keywords: \keywordnames
keywords:
Black Holes, Extra Dimensions, Gravitational Lensing, Quantum Black Holes, Generalized Uncertainty Principle.
See ficha_cat
Acknowledgements.
\addchaptertocentry\acknowledgementname There are many people directly and indirectly related to this work who deserve more than a few words preceding the main text. My wife is surely the person who suffered more due to my constant absence and lack of time. I am very grateful for all the support she gave me, always helping me to become a better person. Thank you and I love you Juliana! My parents also supported me all this time and I’m very grateful for that. Thank you mom and dad (in memoriam). I had the fortune of meeting some special people during my time as a graduate student. With them I had many discussions about physics, mathematics, science and life in general. I do not intend to mentioning everybody who deserves because I would surely miss a few of them, but José, Allan, André, Kelvyn, Armando, Bruno, Marina, Luis and Daniel are some of these who have helped me to better understand the meaning of friendship and science. Over the year of 2015 I have been collaborating with professor Roberto Casadio, who hosted me at the Bologna university. Roberto was a great host and I have learnt a lot with him. Thank you! Finally my advisor, professor Roldão da Rocha. I have learnt much more than how I should carry on a research and technical stuff with him. I am sure his other students have the same feeling. Sometimes he treats us as students, some times as friends, but always being very professional, kind and ready for helping. For me it is hard imagining a better advisor. Thank you very much professor Roldão!
{resumo}\addchaptertocentry
Resumo
Neste trabalho foram investigadas algumas conseguências da física de buracos negros em teorias cujo domínio está além do domínio da relatividade geral, em especial em teorias efetivos com dimensões extras. A investigação foi em substancialmente conduzida baseando-se em três efeitos gravitacionais, a saber, a radiação Hawking, o regime de deflexão forte de lentes gravitacionais e a formação de buracos negros quânticos. Uma solução de modelo cosmológico imerso em uma brana espessa foi também investigada. Modelos e teorias efetivas fornecem meios para testar os limites de validade de teorias conhecidas e indicam o que deveríamos esperar além desses limites. Baseado nessa ideia foram usados alguns modelos efetivos para estudar efeitos não previstos pela relatividade geral, associados a cada um dos fenômenos mencionados.
Palavras Chave: Buracos Negros, Dimensões Extras, Lentes Gravitacionais, Buracos Negros Quânticos, Princípio da Incerteza Generalizado.
{abbreviations}
ll
**GR & General Relativity
BH Black Holes
PBH Primordial Black Holes
QBH Quantum Black Holes
ABH Astrophysical Black Holes
VSR Very Special Relativity
RS Randall-Sundrum
CFM Casadio-Fabbri-Mazzacurati
MGD Minimal Geometric Deformation
GL Gravitational Lensing
SDL Strong Deflection Limit
WDL Weak Deflection Limit
GUP Generalized Uncertainty Principle
HUP Heisenberg Uncertainty Principle
HWF Horizon Wave Function
**