Stationarity of extremum entropy fluid bodies in general relativity /
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Author / Creator: | Schiffrin, Joshua Seth, author. |
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Imprint: | 2015. Ann Arbor : ProQuest Dissertations & Theses, 2015 |
Description: | 1 electronic resource (40 pages) |
Language: | English |
Format: | E-Resource Dissertations |
Local Note: | School code: 0330 |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/10773273 |
Other authors / contributors: | University of Chicago. degree granting institution. |
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ISBN: | 9781339080543 |
Notes: | Advisors: Robert M. Wald Committee members: Luca Grandi; Daniel E. Holz; William T. Irvine. Dissertation Abstracts International, Volume: 77-02(E), Section: B. English |
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. |
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