Stable circular orbits in caged black hole spacetimes

Abstract

We consider the motion of massive and massless particles in a five-dimensional spacetime with a compactified extra-dimensional space where a black hole is localized, i.e., a caged black hole spacetime. We show the existence of circular orbits and reveal their sequences and stability. In the asymptotic region, stable circular orbits always exist, which implies that four-dimensional gravity is more dominant because of the small extra-dimensional space. In the vicinity of a black hole, they do not exist because the effect of compactification is no longer effective. We also clarify the dependence of the sequences of circular orbits on the size of the extra-dimensional space by determining the appearance of the innermost stable circular orbit and the last circular orbit (i.e., the unstable photon circular orbit).

13 pages, 2 figures; v2: minor revision, add references; v3: published version

References in corpus (12)

• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
• A supersymmetric black lens
• Dynamics of test particles in the general five-dimensional Myers-Perry spacetime
• Geodesic Motion in the Singly Spinning Black Ring Spacetime
• Stable Bound Orbits around Black Rings
• Particle Motion in the Rotating Black Ring Metric
• Stable Bound Orbits in Six-dimensional Myers-Perry Black Holes
• Stable circular orbits in higher-dimensional multi-black hole spacetimes
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Stable bound orbits in black lens backgrounds
• Chaotic particle motion around a homogeneous circular ring