Master equations and Quasi-normal modes of spin-3/2 fields in Schwarzschild (A)dS black hole spacetimes

Abstract

In this work we consider spin-3/2 fields in Schwarzschild (A)dS black hole spacetimes. As this spacetime is different from the Ricci-flat cases, it is necessary to modify the covariant derivative to the supercovariant derivative in order to maintain the gauge symmetry, as noted in our earlier works, where this is done here by including terms related to the cosmological constant. Together with the eigenmodes for spin-3/2 fields on an $n$-sphere, we derive the master radial equations, which have effective potentials that in general include an explicitly imaginary part and energy dependence. We found that for the asymptotically AdS cases, the explicit imaginary dependence automatically disappears, because of the negative cosmological constant. We take this case as an example and obtain the quasi-normal modes by using the Horowitz-Hubeny method [6].

arXiv comment20 pages, 5 figures and 3 tables

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Cited by in corpus (7)

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• Quasinormal modes of a massless Dirac field in de Rham-Gabadadze-Tolley massive gravity
• Fermionic greybody factors in Schwarzschild acoustic black holes
• A new (original) set of Quasi-normal modes in spherically symmetric AdS black hole spacetimes
• Quasinormal modes for integer and half-integer spins within the large angular momentum limit
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes
• Greybody factors of Proca fields in Schwarzschild spacetime: A supplemental analysis based on decoupled master equations related to the Frolov-Krtouš-Kubizňák-Santos separation