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Dynamical Compact Elastic Bodies in General Relativity

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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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Authors and Affiliations

  1. Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam, Germany

    Lars Andersson & Bernd G. Schmidt

  2. School of Mathematical Sciences, Monash University, Clayton, VIC, 3800, Australia

    Todd A. Oliynyk

Authors
  1. Lars Andersson
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  2. Todd A. Oliynyk
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  3. Bernd G. Schmidt
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Correspondence to Todd A. Oliynyk.

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Communicated by C. De Lellis

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Andersson, L., Oliynyk, T.A. & Schmidt, B.G. Dynamical Compact Elastic Bodies in General Relativity. Arch Rational Mech Anal 220, 849–887 (2016). https://doi.org/10.1007/s00205-015-0943-1

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  • DOI: https://doi.org/10.1007/s00205-015-0943-1

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