Perturbations of Black Holes Surrounded by Anisotropic Matter Field
arXiv:2411.11629 · doi:10.1103/PhysRevD.111.064034
Abstract
Our research aims to probe the anisotropic matter field around black holes using black hole perturbation theory. Black holes in the universe are usually surrounded by matter or fields, and it is important to study the perturbation and the characteristic modes of a black hole that coexists with such a matter field. In this study, we focus on a family of black hole solutions to Einstein's equations that extend the Reissner-Nordström spacetime to include an anisotropic matter field. In addition to mass and charge, this type of black hole possesses additional hair due to the negative radial pressure of the anisotropic matter. We investigate the perturbations of the massless scalar and electromagnetic fields and calculate the quasinormal modes (QNMs). We also study the critical orbits around the black hole and their properties to investigate the connection between the eikonal QNMs, black hole shadow radius, and Lyapunov exponent. Additionally, we analyze the grey-body factors and scattering coefficients using the perturbation results. Our findings indicate that the presence of anisotropic matter fields leads to a splitting in the QNM frequencies compared to the Schwarzschild case. This splitting feature is also reflected in the shadow radius, Lyapunov exponent, and grey-body factors.
35 pages, 10 figures
References in corpus (17)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
- First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
- Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
- Connection between black-hole quasinormal modes and lensing in the strong deflection limit
- Quasi-Normal Modes and Gravitational Wave Astronomy
- Quasinormal modes of gravitational perturbation around a Schwarzschild black hole surrounded by quintessence
- Quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence: Electromagnetic perturbations
- Gravitational spectrum of black holes in the Einstein-Aether theory
- Phase transition, Quasinormal modes and Hawking radiation of Schwarzschild black hole in Quintessence field
- Quasinormal modes and grey-body factors of regular black holes with a scalar hair from the Effective Field Theory
- Probing hairy black holes caused by gravitational decoupling using quasinormal modes and greybody bounds
- Influence of an anisotropic matter field on the shadow of a rotating black hole
- Homoclinic orbit and the violation of the chaos bound around a black hole with anisotropic matter fields
- Scalar hairy black holes in Einstein-Maxwell-conformally coupled scalar theory
- Gravitational quasinormal modes of black holes in Einstein-aether theory
- Metric perturbations in Noncommutative Gravity