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Black hole radiation with high frequency dispersion

1999/05/31 by Hiromi Saida, H. Saida, Masa‐aki Sakagami +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Computational physics #Cosmology and Gravitation Theories #Dispersion (optics) #Electromagnetic spectrum #Field (mathematics) #Frequency spectrum #Gravitational wave #Hawking radiation #Materials science #Mathematics #Optics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Radiation #Range (aeronautics) #Spectrum (functional analysis) #Statistical physics #gr-qc

paper · pdf · doi:10.1103/physrevd.61.084023

published as Phys.Rev. D61 (2000) 084023 · 9 pages, 10 figures, submitted to Phys.Rev.D

arxiv created 1999/08/24 · openalex publication_date 2000/03/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider one model of 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 the low frequency range, which has resulted in the Planckian distribution of the Hawking temperature. On the other hand, it has been numerically shown that its spectrum deviates from the thermal one in the 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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