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In , particularly general relativity, a static spherically symmetric perfect fluid solution (a term which is often abbreviated as ssspf) is a spacetime equipped with suitable tensor fields which models a static round ball of a fluid with isotropic pressure.

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  • Static spherically symmetric perfect fluid (en)
  • Fluido estático esfericamente simétrico perfeito (pt)
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  • In , particularly general relativity, a static spherically symmetric perfect fluid solution (a term which is often abbreviated as ssspf) is a spacetime equipped with suitable tensor fields which models a static round ball of a fluid with isotropic pressure. (en)
  • Em teorias métricas da gravitação, particularmente relatividade geral, uma solução para um fluido estático esfericamente simétrico perfeito (um termo o qual é abreviado em inglês como ssspf, de static spherically symmetric perfect fluid) é um espaço-tempo equipado com o apropriado conjunto de tensores de campo o qual modelam uma esfera estática de fluido com pressão isotrópica. (pt)
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  • In , particularly general relativity, a static spherically symmetric perfect fluid solution (a term which is often abbreviated as ssspf) is a spacetime equipped with suitable tensor fields which models a static round ball of a fluid with isotropic pressure. Such solutions are often used as idealized models of stars, especially compact objects such as white dwarfs and especially neutron stars. In general relativity, a model of an isolated star (or other fluid ball) generally consists of a fluid-filled , which is technically a perfect fluid solution of the Einstein field equation, and an , which is an asymptotically flat vacuum solution. These two pieces must be carefully matched across the world sheet of a spherical surface, the surface of zero pressure. (There are various mathematical criteria called for checking that the required matching has been successfully achieved.) Similar statements hold for other metric theories of gravitation, such as the Brans–Dicke theory. In this article, we will focus on the construction of exact ssspf solutions in our current Gold Standard theory of gravitation, the theory of general relativity. To anticipate, the figure at right depicts (by means of an embedding diagram) the spatial geometry of a simple example of a stellar model in general relativity. The euclidean space in which this two-dimensional Riemannian manifold (standing in for a three-dimensional Riemannian manifold) is embedded has no physical significance, it is merely a visual aid to help convey a quick impression of the kind of geometrical features we will encounter. (en)
  • Em teorias métricas da gravitação, particularmente relatividade geral, uma solução para um fluido estático esfericamente simétrico perfeito (um termo o qual é abreviado em inglês como ssspf, de static spherically symmetric perfect fluid) é um espaço-tempo equipado com o apropriado conjunto de tensores de campo o qual modelam uma esfera estática de fluido com pressão isotrópica. Tais soluções são frequentemente usadas como modelos idealizados de estrelas, especialmente objetos tais como as anãs brancas e especialmente as estrelas de nêutrons. Em relatividade geral, um modelo de uma estrela isolada (ou outra esfera de fluido) geralmente consiste de uma preenchida de fluido, a qual é tecnicamente uma solução de fluido perfeito das equações de campo de Einstein, e uma , a qual esta em uma assintoticamente plana solução do vácuo. Estas duas partes devem ser cuidadosamente combinadas através da superfície do mundo de uma superfície esférica, a superfície de pressão zero. (Existem vários critérios matemáticos chamados para verificar-se que a combinação requerida tenha sido escolhida com sucesso.) Condutas similares adaptam-se para outras teorias métricas da gravitação, tais como a teoria Brans-Dicke. (pt)
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