Possible physical realizations of the Tolman VII solution

Possible physical realizations of the Tolman VII solution
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托尔曼七世解决方案的可能物理实现

DOI:
10.1103/physrevd.92.124005
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发表时间:
2015
期刊:
影响因子:
5
通讯作者:
D. Hobill
D. Hobill
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Raghoonundun;D. Hobill

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重新检验了爱因斯坦方程的托尔曼VII解(精确的静态球对称完美流体解),并首次推导了封闭式状态方程(EOS)。该EOS允许进一步分析,从而获得致密恒星的可行模型。因果关系条件的明确应用对模型提出了进一步的限制,最近对中子星质量和半径的测量结果证明在模型的预测范围内。发现绝热指数 ${\gamma} \geq 2$ 和自束缚地壳解不排除。该解决方案还被证明遵守已知的稳定性标准。有人认为,这个解决方案为致密恒星模型提供了现实的限制。
The Tolman VII solution (an exact static spherically symmetric perfect fluid solution) to the Einstein equations is reexamined, and a closed form equation of state (EOS) is deduced for the first time. This EOS allows further analysis leading to a viable model for compact stars to be obtained. Explicit application of causality conditions places further constraints on the model, and recent measurements of masses and radii of neutron stars prove to be within the predictions of the model. It is found that the adiabatic index ${\gamma} \geq 2$, and self-bound crust solutions are not excluded. The solution is also shown to obey known stability criteria. It is argued that this solution provides realistic limits on models of compact stars.
DOI: 10.1088/0004-637x/742/2/122
发表时间: 2010-04
期刊: The Astrophysical Journal
影响因子: --
作者:
V. Suleimanov;J. Poutanen;M. Revnivtsev;K. Werner
通讯作者: V. Suleimanov;J. Poutanen;M. Revnivtsev;K. Werner