Marginally stable circular orbits in stationary axisymmetric spacetimes

Abstract

We derive a necessary condition for the existence of marginally stable circular orbits of test particles in stationary axisymmetric spacetimes which possess a refection symmetry with respect to the equatorial plane; photon orbits are also addressed. Energy and angular momentum are shown to decouple from metric quantities, rendering a purely geometric characterization of circular orbits for this general class of metrics. The subsequent system is analyzed using resultants, providing an algorithmic approach for finding MSCO conditions. MSCOs are explicitly calculated for concrete examples of physical interest.

16 pages, 1 figure. Published in Phys. Rev. D 94, 024015 (2016)

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Cited by in corpus (9)

• General classification of charged test particle circular orbits in Reissner--Nordström spacetime
• ISCOs and OSCOs in the presence of positive cosmological constant
• Existence and stability of circular orbits in static and axisymmetric spacetimes
• Internal structures and circular orbits for test particles
• Nonradial stability of marginal stable circular orbits in stationary axisymmetric spacetimes
• Circular geodesic orbits in the equatorial plane of a charged rotating disc of dust
• A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
• Luminosity of accretion disks in compact objects with quadrupole
• Equatorial stability analysis of dust particle orbits within a charged rotating disc of dust