Geodesic equations for particles and light in the black spindle spacetime
arXiv:1912.03974 · doi:10.1063/5.0011432
Abstract
In this paper we derive the geodesic equation for massive particles and light for the black spindle spacetime. The solution for light can be formulated in terms of the Weierstraß {\wp}-, σ- and ζ-function, whereas a part of the solutions for massive particles is given in terms of derivatives of the Kleinian σ-function. We analyze the possible orbit types using parametric diagrams and effective potentials. Furthermore we visualize the orbits in a coordinate system, where the spindle-like topology of the horizon is visible.
11 pages, 5 figures
References in corpus (9)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications
- Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
- Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: analytical solutions
- Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times
- Geodesic Motion in the Singly Spinning Black Ring Spacetime
- Geodesic Motion in the (Charged) Doubly Spinning Black Ring Spacetime
- Analytic solutions of the geodesic equation for Reissner-Nordström-(anti-)de Sitter black holes surrounded by different kinds of regular and exotic matter fields
Cited by in corpus (5)
- Aspects of the dyonic Kerr-Sen-AdS black hole and its ultraspinning version
- Shadowless rapidly rotating yet not ultraspinning Kerr-AdS and Kerr-Newman-AdS black holes
- Dimensional structure of thermodynamic topology in ultraspinning Kerr-AdS black holes
- Hyperelliptic functions and motion in general relativity
- Ultra-spinning Chow's black holes in six-dimensional gauged supergravity and their properties