High overtones of Dirac perturbations of a Schwarzschild black hole

Details High overtones of Dirac perturbations of a Schwarzschild black hole High overtones of Dirac perturbations of a Schwarzschild black hole

2004-11-04

arxiv.org/abs/hep-th/0411055v3

Phys.Rev. D71 (2005) 047502

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, Latex, 3 figures, Physical Review D.,at press

Scientific paper

10.1103/PhysRevD.71.047502

Using the Frobenius method, we find high overtones of the Dirac quasinormal spectrum for the Schwarzschild black hole. At high overtones, the spacing for imaginary part of $\omega_{n}$ is equidistant and equals to $\Im{\omega_{n+1}}-\Im{\omega_{n}} =i/8M$, ($M$ is the black hole mass), which is twice less than that for fields of integer spin. At high overtones, the real part of $\omega_{n}$ goes to zero. This supports the suggestion that the expected correspondence between quasinormal modes and Barbero-Immirzi parameter in Loop Quantum Gravity is just a numerical coincidence.

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