Stationarity of extremum entropy fluid bodies in general relativity /

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Bibliographic Details
Author / Creator:Schiffrin, Joshua Seth, author.
Ann Arbor : ProQuest Dissertations & Theses, 2015
Description:1 electronic resource (40 pages)
Format: E-Resource Dissertations
Local Note:School code: 0330
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Other authors / contributors:University of Chicago. degree granting institution.
Notes:Advisors: Robert M. Wald Committee members: Luca Grandi; Daniel E. Holz; William T. Irvine.
Dissertation Abstracts International, Volume: 77-02(E), Section: B.
Summary:We consider perfect fluid bodies ("stars'') in general relativity that are axisymmetric, asymptotically flat, and that admit a maximal hypersurface. We show that configurations that extremize the total entropy at fixed ADM mass, ADM angular momentum, and total particle number are stationary with circular flow. For such stars, this establishes that thermodynamic equilibrium implies dynamic equilibrium.