Influence of Lorentz violation on Dirac quasinormal modes in the Schwarzschild black hole spacetime

Abstract

Using the third-order WKB approximation and monodromy methods, we investigate the influence of Lorentz violating coefficient $b$ (associated with a special axial-vector $b_{\mu }$ field) on Dirac quasinormal modes in the Schwarzschild black hole spacetime. At fundamental overtone, the real part decreases linearly as the parameter $b$ increases. But the variation of the imaginary part with $b$ becomes more complex. For the larger multiple moment $k$, the magnitude of imaginary part increases with the increase of $b$, which means that presence of Lorentz violation makes Dirac field damps more rapidly. At high overtones, it is found that the real part of high-damped quasinormal frequency does not tend to zero, which is quite a different from the symptotic Dirac quasinormal modes without Lorentz violation.

arXiv comment10 pages, 4 figure

References in corpus (36)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Extension of the Cosmic-Ray Energy Spectrum Beyond the Predicted Greisen-Zatsepin-Kuz'min Cutoff
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Quasinormal Modes of Near Extremal Black Branes
• CPT and Lorentz tests with muons
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• Testing CPT with Anomalous Magnetic Moments
• Quasi-normal modes of Schwarzschild-de Sitter black holes
• Lorentz and CPT tests with spin-polarized solids
• Gravitational Lorentz Violations and Adjustment of the Cosmological Constant in Asymmetrically Warped Spacetimes
• Decay of charged scalar field around a black hole: quasinormal modes of R-N, R-N-AdS and dilaton black holes
• Quasinormal behavior of massless scalar field perturbation in Reissner-Nordstrom anti-de Sitter spacetimes
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Lorentz Violating Inflation
• Dirac quasinormal modes of the Reissner-Nordström de Sitter black hole
• Non-Rotating BTZ Black Hole Area Spectrum from Quasi-normal Modes
• Quasinormal modes in pure de sitter spacetimes
• Late-time behavior of massive Dirac fields in a Schwarzschild background
• Area Spectrum of Extremal Reissner-Nordström Black Holes from Quasi-normal Modes
• Dirac Quasinormal modes of Schwarzschild black hole
• On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background
• On the Role of Chaos in the AdS/CFT Connection
• Dirac quasinormal frequencies of Reissner-Nordström black hole in Anti-de Sitter spacetime
• Constraining Lorentz violations with Gamma Ray Bursts
• Asymmetrically warped compactifications and gravitational Lorentz violation
• Quasinormal modes in time-dependent black hole background
• Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes
• Lorentz-violating brane worlds and cosmological perturbations
• Selection Rules for Black-Hole Quantum Transitions

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• Quasinormal Modes of a Schwarzschild Black Hole Immersed in an Electromagnetic Universe
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• Gravitational quasinormal modes of black holes in Einstein-aether theory
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