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Teoria da Relatividade: Fundamentos Físicos by Capiberibe Nunes, Ricardo

Teoria da Relatividade: Fundamentos Físicos

by Ricardo Capiberibe Nunes
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Book cover type: Paperback
  • ISBN13: 9798701711332
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Publication Date:
  • Pages: 352
  • Original Price: USD 40.0
  • Language: Portuguese
  • Edition: N/A
  • Item Weight: 472 grams
  • BISAC Subject(s): Physics / Relativity

Esse livro é uma proposta de construção da teoria da relatividade especial a partir rotações hiperbólicas no espaço-tempo 4-dimensional de Poincaré-Minkowski e análise de tópicos pouco discutidos na literatura, como a termodinâmica relativística e a violação da conservação do momento e energia na Teoria da Relatividade Geral.Como as rotações hiperbólicas são a linguagem própria do espaço-tempo, o método torna a dedução de grandezas relativísticas complicadas e até dúbias, um simples exercício de álgebra elementar. Inicialmente apresentamos a estrutura matemáticas e seus elementos, para então aplicar os sobre os 4-vetores mais comuns associados a mecânica e eletromagnetismo.Com base no formalismo hiperbólico prova-se que transformações de Lorentz formam um grupo abeliano. Por meio da álgebra de Lie não abeliana estabelecemos o tensor fundamental eletromagnético Também aplicamos para outros campos da física, pouco discutidos como a óptica e a termodinâmica.O estudo dos fenômenos térmicos nos levou a propor uma modificação na primeira lei da Termodinâmica e na equação da condutividade, que agora depende de um novo tipo de potencial escalar denominado de potencial de Poincaré.Por fim, apresentamos o formalismo tensorial e variacional para construir a Teoria da Relatividade Geral. Descrevemos detalhadamente o espaço-tempo curvo de Schwarschild e, a partir dos vetores de Killing, verificamos que nesse espaço-tempo há uma violação da conservação do momento e da energia. Mostramos que essa violação não é um deformidade do espaço-tempo de Schwarzchild, mas uma consequência da própria natureza da gravidade.

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