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In general relativity, an exact solution is a solution of the Einstein field equations whose derivation does not invoke simplifying assumptions, though the starting point for that derivation may be an idealized case like a perfectly spherical shape of matter. Mathematically, finding an exact solution means finding a Lorentzian manifold equipped with tensor fields modeling states of ordinary matter, such as a fluid, or classical non-gravitational fields such as the electromagnetic field.

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  • Exact solutions in general relativity (en)
  • Soluzio zehatzak erlatibitate orokorrean (eu)
  • Soluções exatas em relatividade geral (pt)
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  • In general relativity, an exact solution is a solution of the Einstein field equations whose derivation does not invoke simplifying assumptions, though the starting point for that derivation may be an idealized case like a perfectly spherical shape of matter. Mathematically, finding an exact solution means finding a Lorentzian manifold equipped with tensor fields modeling states of ordinary matter, such as a fluid, or classical non-gravitational fields such as the electromagnetic field. (en)
  • Erlatibitate orokorrean, soluzio zehatzak Einsteinen eremu-ekuazioen soluzio jakin batzuk dira, zeinak ez diren hurbilketa bidez lortu. Hurbilketarik erabili ez arren, soluzioak egoera idealizatuetatik abiatuta lortutakoak izan daitezke. Adibidez, esfera perfektu baten itxurako materia motaren bat. Matematikoki, soluzio zehatz bat bat da. Barietate horrek ingurune jakin bateko espazio-denboraren metrika zehazten du, bertako materiaren egoeraren arabera (fluidoak edota eremu elektromagnetikoak, adibidez). (eu)
  • Em relatividade geral, uma ‘’’solução exata’’’ é uma variedade Lorentziana equipada com certos campos tensoriais que são tomados para modelar estados de matéria comum, como um fluido, ou campos clássicos não gravitacionais, tais como o campo eletromagnético. Finalmente, quando todas as contribuições para o tensor de energia-momento são somadas, o resultado deve satisfazer as equações de campo de Einstein (escritas aqui em unidades geometrizadas, onde a velocidade da luz ‘’c’’ = constante gravitacional ‘’G’’ = 1) (pt)
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