Black hole radiation with high frequency dispersion

Details Black hole radiation with high frequency dispersion Black hole radiation with high frequency dispersion

1999-05-11

arxiv.org/abs/gr-qc/9905034v2

Phys.Rev. D61 (2000) 084023

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 10 figures, submitted to Phys.Rev.D

Scientific paper

10.1103/PhysRevD.61.084023

We consider one model of a black hole radiation, in which the equation of motion of a matter field is modified to cut off high frequency modes. The spectrum in the model has already been analytically derived in low frequency range, which has resulted in the Planckian distributin of the Hawking temperature. On the other hand, it has been numerically shown that its spectrum deviates from the thermal one in high frequency range. In this paper, we analytically derive the form of the deviation in the high frequency range. Our result can qualitatively explain the nature of the numerically calculated spectrum. The origin of the deviation is clarified by a simple discussion.

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