Spin 2 Quasinormal Modes in Generalized Nariai Spacetimes
arXiv:2002.08449 · doi:10.1103/PhysRevD.101.084037
Abstract
In this work we analytically obtain the quasinormal spectrum for the gravitational perturbation on a higher-dimensional generalization of the Nariai spacetime that is comprised of the direct product of the two-dimensional de Sitter space with several two-spheres. A key step in order to attain this result is to use a suitable basis for the angular functions depending on the rank of the tensorial degree of freedom that one needs to describe. Here we define such a basis, which is a generalization of the tensor spherical harmonics that is suited for spaces that are the product of several spaces of constant curvature.
arXiv comment13 pages, 1 figure
References in corpus (18)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Quasinormal modes of black holes and black branes
- Quasi-Normal Modes of Stars and Black Holes
- Quasinormal modes of black holes: from astrophysics to string theory
- Master equations for perturbations of generalised static black holes with charge in higher dimensions
- Pair Creation of Black Holes During Inflation
- Quasinormal modes of the near extremal Schwarzschild-de Sitter black hole
- Detection of gravitational waves from black holes: Is there a window for alternative theories?
- Gravitational quasinormal radiation of higher-dimensional black holes
- Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
- Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions
- Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole
- Scalar quasinormal modes of Kerr-AdS
- Asymptotics of Quasi-normal Modes for Multi-horizon Black Holes
- Quasinormal Modes and Gravitational Radiation in Black Hole Spacetimes
- Generalized Charged Nariai Solutions in Arbitrary Even Dimensions with Multiple Magnetic Charges
- The Dirac equation in D-dimensional spherically symmetric spacetimes
- Quasinormal Modes in Generalized Nariai Spacetimes