Stationarity of extremum entropy fluid bodies in general relativity
Stationarity of extremum entropy fluid bodies in general relativity
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DOI：
10.1088/0264-9381/32/18/185011
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发表时间：
2015-05
影响因子：
3.5
通讯作者：
Joshua S. Schiffrin
中科院分区：
文献类型：
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作者：
Joshua S. Schiffrin
我们考虑广义相对论中轴对称的、渐近平坦的、允许极大超曲面的完美流体体（“恒星”）。我们表明，在固定的ADM质量、ADM角动量和总粒子数下，使总熵极值的构型在循环流中是稳定的。对于这样的恒星，这表明热力学平衡意味着动态平衡。
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.