The dynamical structure of the Einstein equations for a non-rotating starss

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Scientific paper

The relativistic interior dynamics of a spherically symmetric, non rotating star composed of an elastic material is analyzed. A suitable formulation of relativistic elasticity is used, and the corresponding second order Einstein equations are found. The equations arise naturally in a non-comoving frame and reduce, in the static case, to the “generalized” Tohnan-Oppenheimer-Volkhoff equations considered by J. Kijowski and the author in a previous paper. The charged case is also discussed.

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