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Título del libro: 12th Marcel Grossmann Meeting On Recent Dev. In Theoretical And Experimental General Relativity, Astrophysics And Relativistic Field Theories - Proc. Of The Mg 2009 Meeting On General Relativity
Título del capítulo: Matching conditions in relativistic astrophysics

Autores UNAM:
HERNANDO QUEVEDO CUBILLOS;
Autores externos:

Idioma:
Inglés
Año de publicación:
2012
Palabras clave:

Approximate solution; Compact objects; Einstein-Maxwell equations; Gravitational fields; Mass distribution; Matching condition; Multipole moments; Quadrupole moments; Eigenvalues and eigenfunctions; Gravitation; Relativity; Astrophysics


Resumen:

We present an exact electrovacuum solution of Einstein-Maxwell equations with infinite sets of multipole moments which can be used to describe the exterior gravitational field of a rotating charged mass distribution. We show that in the special case of a slowly rotating and slightly deformed body, the exterior solution can be matched to an interior solution belonging to the Hartle-Thorne family of approximate solutions. To search for exact interior solutions, we propose to use the derivatives of the curvature eigenvalues to formulate a C3-matching condition from which the minimum radius can be derived at which the matching of interior and exterior spacetimes can be carried out. We prove the validity of the C3-matching in the particular case of a static mass with a quadrupole moment. The corresponding interior solution is obtained numerically and the matching with the exterior solution gives as a result the minimum radius of the mass configuration. Copyright © 2012 by World Scientific Publishing Co. Pte. Ltd.


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