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arXiv · 1508.00101

Application of Sturm's theorem to marginal stable circular orbits of a test body in spherically symmetric and static spacetimes

Toshiaki Ono·Tomohito Suzuki·Naomasa Fushimi·Kei Yamada·Hideki Asada
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Abstract

In terms of Sturm's theorem, we reexamine a marginal stable circular orbit (MSCO) such as the innermost stable circular orbit (ISCO) of a timelike geodesic in any spherically symmetric and static spacetime. MSCOs for some of exact solutions to the Einstein's equation are discussed. Strum'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.

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Toshiaki Ono, Tomohito Suzuki, Naomasa Fushimi, Kei Yamada, Hideki Asada. 2015-08-01. Application of Sturm's theorem to marginal stable circular orbits of a test body in spherically symmetric and static spacetimes. https://arxiv.org/abs/1508.00101

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