Soluções analiticas para o acoplamento de um fluido e um dipolo magnetico massivo em relatividade geral / Analytical solutions for a fluid coupled to a magnetic massive dipole in general relativity

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

We derive analytical solutions of the Einsteinfs equations for two different cases: The first one, a static case, in which a charged fluid is around a mass with extreme magnetic properties of the dipole type. This solution reduces to the Gutsunaev-Manko solution [Ts.I. Gutsunaev , V .S. Manko Phys. Lett. 5, 215, 19851 in the abscense of the charged fluid. We found that the gravitational equilibrium of the system is achieved when the energy fluxs ( thermal and electromagnetic) are balanced and the effective radiation pressure compensates the gravitational effects in the fluid. We study the flows of energy in the system and their thermodynamics properties, we found an analytical expression for the thermodynamic state of the coupled systems. This solution contains the Schwarzschild solution as a particular case. The second solution describes a massive magnetic dipole emiting radiation decreasing in time. In this case we also found the thermodynamic state of the system. As a conclusion, we believe that our theoretical model can be applied to compact stellar systems with extreme magnetic properties

ASSUNTO(S)

general relativity (physics) termodinamica magnetic dipole relatividade geral (fisica) soluções analiticas fluidos thermodynamics analytical solutions dipolo magnetico fluids

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