Kinematic topologies of black holes

2023/05/23 by Yin, Jiayu, Jiang, Jie, Zhang, Ming · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2305.14179

Abstract

We investigate the kinematic topologies of light rings (LRs) and massive particle rings (PRs) encircling spherical and axisymmetric black holes. Our results demonstrate that the global topology number of LRs is consistently -1 for asymptotically flat and (Anti-)de Sitter spacetime. Additionally, we show that the global topology of PRs varies, with a value of 0 in asymptotically flat and Anti-de Sitter spacetime but -1 in asymptotic de Sitter spacetime.

Cited by

• Geometric Approach to Light Rings in Axially Symmetric Spacetimes
• Thermodynamics and topological classifications of static non-extremal four-charge AdS black hole in the five-dimensional N = 2, STU-W²U gauged supergravity

Related

• Light rings on stationary axisymmetric spacetimes: blind to the topology and able to coexist
• Spinning generalizations of Majumdar-Papapetrou multi-black hole spacetimes: light rings, lensing and shadows
• Photon Rings and Shadow Size for General Integrable Spacetimes
• Traversable wormholes and light rings
• Topology of light rings for extremal and non-extremal Kerr-Newman Taub-NUT black holes without ℤ₂ symmetry