Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)

Detalhes bibliográficos
Autor(a) principal: Cabral, Francisco Tenreiro Oliveira
Data de Publicação: 2012
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10451/9264
Resumo: Tese de mestrado em Física, apresentada à Universidade de Lisboa, através da Faculdade de Ciências, 2012
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spelling Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)FísicaAstrofísicaCosmologiaTeses de mestrado - 2012Tese de mestrado em Física, apresentada à Universidade de Lisboa, através da Faculdade de Ciências, 2012Principais motivações que orientam a linha de investigação na qual a tese se insere: - Aprofundar o estudo da relação íntima entre geometria e física; - Estudar as analogias e o acoplamento entre gravidade e electromagnetismo usando métodos geométricos, compreendendo a possibilidade de importantes aplicações teóricas e tecnológicas, podendo mesmo ser relevante para a astrofísica, a cosmologia e, eventualmente, no caminho para uma teoria consistente da gravidade quântica; - Estudar o gravitoelectromagnetismo e suas aplicações astrofísicas e eventualmente tecnológicas; - Explorar a noção de torsão em geometria diferencial e sua importância em física, nomeadamente no âmbito das teorias de gravitação. Enquadramento geral e tópicos principais da dissertação. Relação entre geometria e Natureza - relação entre geometria e física. • Importância dos métodos geométricos no estudo do campo eletromagnético e da gravidade e na exploração das analogias e acoplamento entre estas duas interações: • Axiomática do electromagnetismo; • Gravitoelectromagnetismo; • Acoplamento entre gravidade e electromagnetismo; • Gravidade com torsão: - Relevância teórica. Diferentes modelos; - Alguns modelos cosmológicos; - Exploração das analogias entre gravidade e electromagnetismo; - Testes experimentais. A questão da interpretação do papel das estruturas geométricas do espaço-tempo em física é abordada, realçando algumas reflexões relacionadas com a geometrização da física, motivadas pelo estudo das analogias e acoplamento entre gravidade e electromagnetismo. Neste âmbito a noção da ontologia física do espaço-tempo é brevemente abordada na sua conexão com as teorias unificadas.Although this work contains many personal investigations, interpretations and ideas, it was mainly constructed as a review compilation on several selected topics concerning the electromagnetic and gravitational studies using geometrical methods. The selected topics and their sources reflect the author’s interests and were compiled together and organized into a single framework in order to construct a meaningful and solid line of research on the related topics of gravitation and electromagnetism. One could say that this project fits within the wider scientific arena for research on the relation between geometry and physics and the nature of space and time. Some of the topics addressed, such as the coupling of gravity and electromagnetism, gravitoelectromagnetism and gravity with torsion, are areas of active research from the theoretical side but it’s the author’s conviction that these studies will eventually reveal many astonishing practical (technological) applications. Main motivations and research lines: - To deepen the study on the profound relation between geometry and physics and the nature of space and time; - To study the analogies and physical coupling between gravity and electromagnetism using geometrical methods, considering the possibility of important theoretical (and technological) applications, being relevant for astrophysics, cosmology and, eventually, for the search of a consistent theory of quantum gravity; - To study gravitoelectromagnetism from a theoretical point of view as well as its astrophysical and technological applications; - To explore the notion of torsion in differential geometry and its importance in physics, namely in classical and quantum gravitation, unified theories of interactions and cosmology; - To explore, using the already mentioned analogies, to which extent is it possible to have a geometrical explanation of “inertial forces” (compatible with the equivalence principle), seen as geometrical deformations of space-time, such as curvature and torsion. (Not all of these topics are covered in the present work but these are the main research lines that motivate this and future projects) General conceptual framework and main topics present in this thesis Relation between geometry and physics: Importance of geometrical methods in the study of the electromagnetic and gravitational fields and in the exploration of the analogies and coupling between these physical interactions: - Axiomatic of the electromagnetism; - Coupling between gravity and electromagnetism; - Gravitoelectromagnetism and GP-B experiment; - Gravity with torsion: • Theoretical relevance of extended theories of gravity. Different models with torsion and interpretations; • Some cosmological applications; • Exploration of the analogies and coupling between gravity and electromagnetism. • Testing space-time torsion - The work suggests the idea that the electromagnetic properties of “empty space” might be interpreted as geometrical properties of the space-time continuum and that electromagnetic and gravitational waves should be fundamentally connected and be mutually generated. In this sense, it also reinforces the need to rethink the concept of “vacuum” in physics. It is also briefly explored the possibility of a geometrical description of the electromagnetic field.. - Being essentially devoted to geometrical methods in the study of the electromagnetic and gravitational fields and to the role of space-time (geometrical) structures in these field theories, this work enhances the philosophical debate on the nature of space and time inspired by ideas coming from physics. On the last part it discusses some relevant open questions such as the possibility of a coherent physicalism of space-time and the geometrization of fundamental structures such as Higgs fields.Crawford, Paulo, 1943-Repositório da Universidade de LisboaCabral, Francisco Tenreiro Oliveira2013-10-02T12:45:53Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfapplication/pdfhttp://hdl.handle.net/10451/9264enginfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-11-20T17:12:40Zoai:repositorio.ul.pt:10451/9264Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-11-20T17:12:40Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)
title Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)
spellingShingle Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)
Cabral, Francisco Tenreiro Oliveira
Física
Astrofísica
Cosmologia
Teses de mestrado - 2012
title_short Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)
title_full Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)
title_fullStr Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)
title_full_unstemmed Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)
title_sort Geometrical methods in electromagnetism and gravitation: gravitoelectromagnetism and gravity with torsion (with cosmological applications)
author Cabral, Francisco Tenreiro Oliveira
author_facet Cabral, Francisco Tenreiro Oliveira
author_role author
dc.contributor.none.fl_str_mv Crawford, Paulo, 1943-
Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Cabral, Francisco Tenreiro Oliveira
dc.subject.por.fl_str_mv Física
Astrofísica
Cosmologia
Teses de mestrado - 2012
topic Física
Astrofísica
Cosmologia
Teses de mestrado - 2012
description Tese de mestrado em Física, apresentada à Universidade de Lisboa, através da Faculdade de Ciências, 2012
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
2013-10-02T12:45:53Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10451/9264
url http://hdl.handle.net/10451/9264
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv mluisa.alvim@gmail.com
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