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Application of Sturm's theorem to marginal stable circular orbits of a test body in spherically symmetric and static spacetimes
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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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Cited by 1 Pith paper
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Orbits of Massive Particles in a Spherically Symmetric Gravitational Field in View of Cosmological Constant
A Puiseux-series analysis of the Kottler metric produces a taxonomy of massive-particle orbits and a galaxy-rotation-based upper bound on a negative cosmological constant.
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