Density matrix of radiation of black hole with fluctuating horizon

The density matrix of Hawking radiation is calculated in the model of black hole with fluctuating horizon. Quantum fluctuations smear the classical horizon of black hole and modify the density matrix of radiation producing the off-diagonal elements. The off-diagonal elements may store information of...

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Bibliographic Details
Published in:arXiv.org 2016-04
Main Author: Iofa, Mikhail Z
Format: Article
Language:English
Subjects:
Black holes
Convolution
Density
Gaussian distribution
Hawking radiation
Horizon
Mathematical models
Normal distribution
Quantum phenomena
Smear
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Summary:The density matrix of Hawking radiation is calculated in the model of black hole with fluctuating horizon. Quantum fluctuations smear the classical horizon of black hole and modify the density matrix of radiation producing the off-diagonal elements. The off-diagonal elements may store information of correlations between radiation and black hole. The smeared density matrix was constructed by convolution of the density matrix calculated with the instantaneous horizon with the Gaussian distribution over the instantaneous horizons. The distribution has the extremum at the classical radius of the black hole and the width of order of the Planck length. Calculations were performed in the model of black hole formed by the thin collapsing shell which follows a trajectory which is a solution of the matching equations connecting the interior and exterior geometries.
ISSN:2331-8422
DOI:10.48550/arxiv.1603.07480