Abstract
We study charged fermionic perturbations in the background of two-dimensional charged Dilatonic black holes, and we present the exact Dirac quasinormal modes. Also, we study the stability of these black holes under charged fermionic perturbations.
Highlights
The particular motivation of this work is to calculate the quasinormal modes (QNMs) for charged fermionic field perturbations against the background of two-dimensional charged dilatonic black holes [3], and to study the stability of these black holes under charged fermionic perturbations
The QNMs determine how fast a thermal state in the boundary theory will reach thermal equilibrium according to the AdS/CFT correspondence [25], where the relaxation time of a thermal state of the boundary thermal theory is proportional to the inverse of the imaginary part of the quasinormal frequencies (QNFs) of the dual gravity background [26]
The charged fermionic perturbations against the background of two-dimensional dilatonic black holes are governed by the Dirac equation in curved space, γ μ ∇μ − iq Aμ + m ψ = 0, (5)
Summary
The particular motivation of this work is to calculate the quasinormal modes (QNMs) for charged fermionic field perturbations against the background of two-dimensional charged dilatonic black holes [3], and to study the stability of these black holes under charged fermionic perturbations. The QNMs and their quasinormal frequencies (QNFs) are an important property of black holes and have a long history [19–24]. J. C (2014) 74:2940 quantized black hole area, by identifying the vibrational frequency with the real part of the QNFs. it is not universal for every black hole background.
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