Dynamical compact elastic bodies in general relativity
Lars Andersson, Todd A. Oliynyk, Bernd G. Schmidt
TL;DR
This paper proves the local existence of solutions to Einstein-Elastic equations describing self-gravitating, relativistic elastic bodies with finite size in general relativity.
Contribution
It establishes the first local existence results for relativistic elastic bodies with compact support in Einstein's theory.
Findings
Existence of solutions proven for Einstein-Elastic equations.
Relativistic elastic bodies with finite support modeled.
Mathematical framework for self-gravitating elastic bodies developed.
Abstract
We prove the local existence of solutions to the Einstein-Elastic equations that represent self-gravitating, relativistic elastic bodies with compact support.
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