Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976phrvd..14.1479g&link_type=abstract
Physical Review D - Particles and Fields, 3rd Series, vol. 14, Sept. 15, 1976, p. 1479-1508.
Astronomy and Astrophysics
Astronomy
48
Black Body Radiation, Black Holes (Astronomy), Gravitational Collapse, Stellar Evolution, Red Shift, Standing Waves, Time Dependence, Wentzel-Kramer-Brillouin Method
Scientific paper
The mechanism of blackbody radiation from a black hole about to be formed by a collapsing star is investigated in detail by applying classical field theory to the zero-point fluctuations that permeate all space including the interior of the star. The general setting of the star and the set of standing-wave modes undergoing zero-point oscillations is defined along with the exterior and interior geometry associated with the collapsing star. Redshifting of the zero-point radiation emerging from the star's surface is analyzed, the Fourier spectrum of the radiation is derived, and parametric amplification of the vacuum fluctuation modes is discussed in terms of the nonapplicability of the WKB approximation as well as the time-dependent blueshift and redshift associated with a time-dependent potential. The resonant nature of the amplification process is demonstrated, the radiation spectrum is described, and its most important properties are listed. Black-hole entropy is then identified with the logarithm of the total number of radiation packets, and the net rate of energy emission by an incipient black hole is determined. The effect of blackbody-radiation generation on the outcome of gravitational collapse is considered, and it is concluded that a collapsing star will not pass through its incipient event horizon.
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