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.

10 pages, 4 figure

References in corpus (3)

• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Lorentz Violating Inflation
• On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background

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