Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes
High Energy Physics - Theory
2018-06-13 v3 General Relativity and Quantum Cosmology
Abstract
We demonstrate the separability of the massive vector (Proca) field equation in general Kerr-NUT-(A)dS black hole spacetimes in any number of dimensions, filling a long-standing gap in the literature. The obtained separated equations are studied in more detail for the four-dimensional Kerr geometry and the corresponding quasinormal modes are calculated. Two of the three independent polarizations of the Proca field are shown to emerge from the separation ansatz and the results are found in a perfect agreement with those of the recent numerical study where the full coupled partial differential equations were tackled without using the separability property.
Cite
@article{arxiv.1804.00030,
title = {Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes},
author = {Valeri P. Frolov and Pavel Krtouš and David Kubizňák and Jorge E. Santos},
journal= {arXiv preprint arXiv:1804.00030},
year = {2018}
}
Comments
5 pages, 1 figure [v3: title changed, minor modifications, references updated]