Electromagnetic perturbations of a de Sitter black hole in massive gravity

Abstract

The main purpose of this paper is to study quasinormal modes (QNM) of a black hole in massive gravity with a positive cosmological constant due to electromagnetic perturbations. A detailed study of the QNM frequencies for the electromagnetic field is done by varying the parameters of the theory such as the mass, scalar charge, cosmological constant, and the spherical harmonic index. We have employed the sixth order WKB approximation to calculate the QNM frequencies. The electromagnetic potential for the near extreme massive gravity de Sitter black hole is approximated with the P$\ddot{o}$schl-Teller potential to obtain exact frequencies. Our results show that the black hole is stable under electromagnetic perturbations. The null geodesics of the black hole in massive gravity is employed to describe the absorption cross sections at high-frequency limit.

25 pages, and 19 figures. Submitted to International Journal of Modern Physics D

References in corpus (11)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Infrared-modified gravities and massive gravitons
• Lorentz Breaking Massive Gravity in Curved Space
• Quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence: Electromagnetic perturbations
• Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum
• Absorption of planar massless scalar waves by Bardeen regular black holes
• Electromagnetic Luminosity of the Coalescence of Charged Black Hole Binaries
• Nariai black holes with quintessence
• Black holes in massive gravity: Quasi-normal modes of scalar perturbations
• Stars and (Furry) Black Holes in Lorentz Breaking Massive Gravity
• Electromagnetic quasinormal modes of D-dimensional black holes II

Cited by in corpus (4)

• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Quasinormal Modes and Greybody Factors of $f(R)$ gravity minimally coupled to a cloud of strings in $2+1$ Dimensions
• Massive gravity with Lorentz symmetry breaking: black holes as heat engines
• Motion and trajectories of photons in a three-dimensional rotating Hořava AdS black hole