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

Chen, Songbai; Wang, Bin; Su, Rukeng

doi:10.1088/0264-9381/23/24/026

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

Songbai Chen
(
- Fudan U. and
- Hunan Normal U.
)
,
Bin Wang
(
- Fudan U.
)
,
Rukeng Su
(
- CCAST World Lab, Beijing and
- Fudan U.
)

2006

11 pages

Published in:

Class.Quant.Grav. 23 (2006) 7581-7590

e-Print:

gr-qc/0701089 [gr-qc]

DOI:

10.1088/0264-9381/23/24/026

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Abstract: (arXiv)

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.

04.30.-w
97.60.Lf
04.62.+v
violation: Lorentz
black hole: Schwarzschild
Dirac equation
quasinormal mode: Dirac
monodromy
WKB approximation
numerical calculations

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