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Analogue Hawking Radiation from Astrophysical Black Hole Accretion

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arxiv gr-qc/0408081 v1 pith:2ZUPTZ3U submitted 2004-08-25 gr-qc

Analogue Hawking Radiation from Astrophysical Black Hole Accretion

classification gr-qc
keywords analogueastrophysicalblackhawkingholesaccretiontemperaturecalculation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that spherical accretion onto astrophysical black holes can be considered as a natural example of analogue system. We provide, for the first time, an exact analytical scheme for calculating the analogue Hawking temperature and surface gravity for general relativistic accretion onto astrophysical black holes. Our calculation may bridge the gap between the theory of transonic astrophysical accretion and the theory of analogue Hawking radiation. We show that the domination of the analogue Hawking temperature over the actual Hawking temperature may be a real astrophysical phenomena. We also discuss the possibilities of the emergence of analogue white holes around astrophysical black holes. Our calculation is general enough to accommodate accreting black holes with any mass.

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    For a Schwarzschild-surrounded acoustic black hole, phonon entanglement entropy follows a Page curve in the non-extremal case but diverges (no Page time) in the extremal case, according to the island formula.