Rotating relativistic stars: matching conditions and kinematical properties



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González Romero, Luis Manuel (2003) Rotating relativistic stars: matching conditions and kinematical properties. Physical review D, 67 (6). ISSN 1550-7998

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In the framework of general relativity, a description of the matching conditions between two rotating perfect fluids spacetimes in terms of the kinematical properties of the fluids is introduced. The Einstein and Darmois equations are written using coordinates adapted to the boundary separating both spacetimes. The functions appearing in the equations have an immediate physical interpretation. The analysis is extended to the case of matching a perfect fluid spacetime (star interior) with a vacuum spacetime (gravitational field outside the star). By solving a boundary problem for a first order partial differential equation (‘‘master equation’’) we define an exterior tetrad such that the matching conditions and the Einstein equations, for this case, reproduce those of the two-fluid problem. The formalism is applied to a particular static spherically symmetric star and to the Kerr metric.

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©2003 The American Physical Society.
The present work has been supported in part by DGICYT Project PB98-0772. The author wishes to thank F. J. Chinea, L. Fernández-Jambrina, F. Navarro-Lérida and M. J. Pareja for valuable discussions.

Uncontrolled Keywords:General-relativity; Junction conditions; Neutron-stars; Singular hypersurfaces; Gravitational-field; Thin shells; Models; Equations
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:33010
Deposited On:03 Sep 2015 13:37
Last Modified:10 Dec 2018 15:09

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