Black holes in massive gravity: quasinormal modes of Dirac field perturbations

Abstract

We have studied quasinormal modes of spinor $\frac{1}{2}$, massless Dirac field perturbations of a black hole in massive gravity. The parameters of the theory, such as the mass of the black hole, the scalar charge of the black hole, mode number and the multipole number are varied to observe how the corresponding quasinormal frequencies change. We have also used the P$\ddot{o}$schl-Teller approximation to reach analytical values for the frequencies of quasinormal modes for comparison with the numerically obtained values. Comparisons are done with the frequencies of the Schwarzschild black hole.

23 pages, 17 figures, accepted to be published in Modern Physics Letters A

References in corpus (12)

• Resummation of Massive Gravity
• Massive Gravity
• Massive Gravity in Three Dimensions
• Infrared-modified gravities and massive gravitons
• Quasi-Normal Modes and Gravitational Wave Astronomy
• Lorentz-violating graviton masses: getting around ghosts, low strong coupling scale and VDVZ discontinuity
• Lorentz Breaking Massive Gravity in Curved Space
• Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum
• Hairy Black Holes in Massive Gravity: Thermodynamics and Phase Structure
• Black holes in massive gravity: Quasi-normal modes of scalar perturbations
• Stars and (Furry) Black Holes in Lorentz Breaking Massive Gravity
• Dirac quasinormal modes for a 4-dimensional Lifshitz Black Hole

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• Quasinormal Modes and Van der Waals like phase transition of charged AdS black holes in Lorentz symmetry breaking massive gravity
• Quasinormal modes of Dirac spinors in the background of rotating black holes in four and five dimensions