Solução do vácuo

Uma solução de vácuo é uma solução de uma equação de campo[nota 1][1] em que as fontes de campo são tomadas como idênticas a zero. Ou seja, as tais equações de campo são escritas sem interação da matéria.[2]

Exemplos

Na teoria de Maxwell de eletromagnetismo, uma solução de vácuo que representaria o campo eletromagnético em uma região do espaço onde não existem fontes eletromagnéticas (cargas e correntes elétricas), ou seja, onde o atual quadrivetor desaparece:[3]

A teoria de Einstein da relatividade geral, onde uma solução de vácuo que representa o campo gravitacional em uma região do espaço-tempo[4] onde não há nenhuma fonte gravitacionais (massas), isto é, onde o tensor energia-impulso[5] desaparece:

Kaluza-Klein equações de campo do vácuo (estático).[nota 2][6]

Solução do vácuo de Kasner.[7]

Ver também

Notas

  1. Uma equação de campo é uma equação em uma teoria física que descreve como uma força fundamental (ou uma combinação de tais forças) interage com a matéria.
  2. É uma das mais importantes propriedades das soluções axissimétricas e fixas de equações de campo Einstein do vácuo, nas técnicas de solução das definições de momentos multipolares relativistas e usada para investigar soluções de vácuo estáticos e estacionários.

Referências

  1. Applications of Differential Equation - The Restricted Three-body Problems" por Shinichi Tokoro - [[1]]
  2. The Initial Boundary Value Problem for Einstein’s Vacuum Field Equation' por Helmut Friedrich e Gabriel Nagy - [[2]]
  3. Viagens no tempo no universo de Einstein pot J. Richard Gott 2000
  4. Relatividade: Relatividade Geral, Equivalência Massa-Energia, Métrica De Friedman-Lemaître-Robertson-Walker, Relatividade Restrita por Wikipedia 2010
  5. The Stress Tensor and the Relativistic Stress-Energy Tensor por Stefan Waner 2002 - [[3]]
  6. Kaluza-Klein Theory por William O. Straub, PhD 2008 - [[4]]
  7. Appelquist, T.; Chodos, A. (1983), "Quantum dynamics of Kaluza-Klein theories", Physical Review D 28 (4): 772–784,
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