Interferometry of black holes with Hawking radiation

We investigate the wave optical imaging of black holes with Hawking radiation. The spatial correlation function of Hawking radiation is expressed in terms of transmission and reflection coefficients for scalar wave modes and evaluated by numerically summing over angular quantum numbers for the Unruh...

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Bibliographic Details
Published inarXiv.org
Main Authors Nambu, Yasusada, Noda, Sousuke
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.02.2022
Subjects
Black holes
Field of view
Fourier transforms
Hawking radiation
Image enhancement
Photons
Physics - General Relativity and Quantum Cosmology
Physics - Optics
Physics - Quantum Physics
Radiation
Wave reflection
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Summary:We investigate the wave optical imaging of black holes with Hawking radiation. The spatial correlation function of Hawking radiation is expressed in terms of transmission and reflection coefficients for scalar wave modes and evaluated by numerically summing over angular quantum numbers for the Unruh-Hawking state of the Kerr-de Sitter black hole. Then, wave optical images of an evaporating black hole are obtained by the Fourier transformation of the spatial correlation function. For short wavelength, the image of the black hole with the outgoing mode of the Unruh-Hawking state has the appearance of a star with its surface given by the photon sphere. It is found that interference between incoming modes from the cosmological horizon and reflected modes due to the scattering of the black hole can enhance brightness of images in the vicinity of the photon sphere. For a long wavelength, the entire field of view is bright, and the emission region of Hawking radiation cannot be identified.
ISSN:2331-8422
DOI:10.48550/arxiv.2109.07044