Quasinormal modes of $p$-forms in spherical black holes

Abstract

We study the quasinormal modes of $p$-form fields in spherical black holes in $D$-dimensions. Using the spherical symmetry of the black holes and gauge symmetry, we show the $p$-form field can be expressed in terms of the coexact $p$-form and the coexact $(p-1)$-form on the sphere $S^{D-2}$. These variables allow us to find the master equations. By utilizing the S-deformation method, we explicitly show the stability of $p$-form fields in the spherical black hole spacetime. Moreover, using the WKB approximation, we calculate the quasinormal modes of the $p$-form fields in $D(\le 10)$-dimensions.

20 pages, 1 figures, 3 tables

References in corpus (7)

• Quasinormal modes of D-dimensional de Sitter spacetime
• Catastrophic Instability of Small Lovelock Black Holes
• Maxwell's Equations in the Myers-Perry Geometry
• Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions
• Stability of Lovelock Black Holes under Tensor Perturbations
• Linear perturbations of self-gravitating spherically symmetric configurations
• A simple test for stability of black hole by $S$-deformation

Cited by in corpus (1)

• Accurate Quasinormal Modes of the Five-Dimensional Schwarzschild-Tangherlini Black Holes