Application of Sturm's theorem to marginal stable circular orbits of a test body in spherically symmetric and static spacetimes
Application of Sturm's theorem to marginal stable circular orbits of a test body in spherically symmetric and static spacetimes
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DOI：
10.1209/0295-5075/111/30008
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
T. Ono;Tomohito Suzuki;Naomasa Fushimi;Kei Yamada;H. Asada
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文献类型：
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作者：
T. Ono;Tomohito Suzuki;Naomasa Fushimi;Kei Yamada;H. Asada
根据Sturm定理，我们重新研究了在任何球对称和静态时空中的类时测地线的最内层稳定圆轨道（ISCO）等边缘稳定圆轨道（MSCO）。讨论了爱因斯坦方程的一些精确解的最小最小熵。Sturm定理被明确地应用于Kottler（通常称为Schwarzschild-de Sitter）时空。此外，我们还分析了Weyl共形重力中球对称、静态和真空溶液的msco。
In terms of Sturm's theorem, we reexamine a marginal stable circular orbit (MSCO) such as the innermost stable circular orbit (ISCO) of a time-like geodesic in any spherically symmetric and static spacetime. MSCOs for some of the exact solutions to Einstein's equation are discussed. Sturm's theorem is explicitly applied to the Kottler (often called Schwarzschild-de Sitter) spacetime. Moreover, we analyze MSCOs for a spherically symmetric, static and vacuum solution in Weyl conformal gravity.