General relativistic three-body problem
Eliška Klimešová, Martin Žofka
Abstract
We examine analytically the restricted 3-body problem in general relativity for a set of extremally charged black holes. We apply the method of Ferrell and Eardley, which consists in perturbing the Majumdar-Papapetrou solution that describes a static set of such black holes. We extend the method from a pair of black holes to a triplet. We compare the motion of a test particle and a small black hole in the field of a rotating black-hole binary and discover a repulsive self-force acting upon the third black hole.
Create a lesson
Related papers
Symmetry-Driven k-Essence Cosmological Dynamics
Andrés Lueiza-Colipí, Nikolaos Dimakis, Genly Leon et al.
Black Hole Shadow and Light Deflection in Generalized Heisenberg-Euler Nonlinear Electrodynamics
Beyhan Puliçe, Ali Övgün, Yosef Verbin
Shadow and Polarized Images of Schwarzschild-MOG Black Hole Illuminated by Thick Accretion Disk
Cheng Hu, Huan Ye, Hong Lei et al.
Second-order slow rotation of wormholes in Einstein-scalar-Gauss-Bonnet gravity
Sardor Murodov, Bekzod Rahmatov, Javlon Rayimbaev et al.
Causal structure and optical signatures of rotating power law Kalb-Ramond geometry
Hassan Hassanabadi, Orlando Luongo
Searching for gravitational wave echo with group equivariant neural posterior estimation
Jian-Wei Luo, Yun-Song Piao