Stable circular orbits in higher-dimensional multi-black hole spacetimes
arXiv:2008.00179 · doi:10.1103/PhysRevD.102.084003
Abstract
We consider the dynamics of particles, particularly focusing on circular orbits in the higher-dimensional Majumdar-Papapetrou (MP) spacetimes with two equal mass black holes. It is widely known that in the 5D Schwarzschild-Tangherlini and Myers-Perry backgrounds, there are no stable circular orbits. In contrast, we show that in the 5D MP background, stable circular orbits can always exist when the separation of two black holes is large enough. More precisely, for a large separation, stable circular orbits exist from the vicinity of horizons to infinity; for a medium one, they appear only in a certain finite region bounded by the innermost stable circular orbit and the outermost stable circular orbit outside the horizons; for a small one, they do not appear at all. Moreover, we show that in MP spacetimes in more than 5D, they do not exist for any separations.
22 pages, 4 figures; v2: minor revisions, add references; v3: published version
References in corpus (38)
- A rotating black ring in five dimensions
- Geodesic stability, Lyapunov exponents and quasinormal modes
- Black Holes in Higher Dimensions
- Instability of Ultra-Spinning Black Holes
- A generalization of Hawking's black hole topology theorem to higher dimensions
- Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
- Particle and light motion in a space-time of a five-dimensional rotating black hole
- Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
- On the topology and area of higher dimensional black holes
- Binary black hole shadows, chaotic scattering and the Cantor set
- A supersymmetric black lens
- On the Smoothness of the Horizons of Multi-Black Hole Solutions
- Shadows of Colliding Black Holes
- Supersymmetric black lenses in five dimensions
- Analytic treatment of geodesics in five-dimensional Myers-Perry space--times
- Stable photon orbits in stationary axisymmetric electrovacuum spacetimes
- Further restrictions on the topology of stationary black holes in five dimensions
- Dynamics of test particles in the general five-dimensional Myers-Perry spacetime
- Chaotic motion in multi-black hole spacetimes and holographic screens
- On the smoothness of static multi-black hole solutions of higher-dimensional Einstein-Maxwell theory
- Geodesic Motion in the Singly Spinning Black Ring Spacetime
- Black hole binaries: ergoregions, photon surfaces, wave scattering, and quasinormal modes
- Circular orbits in the extreme Reissner-Nordstrøm dihole metric
- Stable Bound Orbits around Black Rings
- Stable Bound Orbits of Massless Particles around a Black Ring
- Curious case of gravitational lensing by binary black holes: a tale of two photon spheres, new relativistic images and caustics
- Particle Motion in the Rotating Black Ring Metric
- Geodesic motion in equal angular momenta Myers-Perry-AdS spacetimes
- Exact solutions of higher dimensional black holes
- Innermost stable circular orbits in Majumdar--Papapetrou dihole spacetime
- Stable Bound Orbits in Six-dimensional Myers-Perry Black Holes
- Effect of a second compact object on stable circular orbits
- Stable bound orbits around a supersymmetric black lens
- Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime
- Nonradial stability of marginal stable circular orbits in stationary axisymmetric spacetimes
- Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
- A Kaluza-Klein black lens in five dimensions
- Chaotic particle motion around a homogeneous circular ring
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- Nonlinear Einstein-Power-Yang-Mills AdS Black Holes: From Quantum Tunneling to Aschenbach Effect
- Stable bound orbits in black lens backgrounds
- Stable circular orbits in caged black hole spacetimes
- Stable circular orbits in Kaluza-Klein black hole spacetimes
- Stable bound orbits around static Einstein-Gauss-Bonnet black holes
- Stable bound orbits in microstate geometries
- Chaos in a generalized Euler's three-body problem