Static Solutions of the Einstein Equations for Spherically Symmetric Elastic Bodies

Abstract

We analyze the Einstein equations for a spherically symmetric static distribution of matter which satisfies a given constitutive relation for elastomechanics. After reducing the equations into a system of Fuchsian ODE for certain scalar invariants of the strain, we show that, for a given constitutive relation and a given value of central pressure satisfying… (More)

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Cite this paper

@inproceedings{Park1998StaticSO, title={Static Solutions of the Einstein Equations for Spherically Symmetric Elastic Bodies}, author={Jiseong Park}, year={1998} }