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

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Abstract

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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  1. Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133, Milano, Italy

    Giulio Magli

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  1. Giulio Magli
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Magli, G. The dynamical structure of the Einstein equations for a non-rotating starss. Gen Relat Gravit 25, 441–460 (1993). https://doi.org/10.1007/BF00756964

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  • DOI: https://doi.org/10.1007/BF00756964

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