Fluctuations of the Hawking Flux

Details Fluctuations of the Hawking Flux Fluctuations of the Hawking Flux

1999-05-04

arxiv.org/abs/gr-qc/9905012v1

Phys.Rev. D60 (1999) 104013

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, LaTeX, with 3 figures, uses epsf

Scientific paper

10.1103/PhysRevD.60.104013

The fluctuations of the flux radiated by an evaporating black hole will be discussed. Two approaches to this problem will be adopted. In the first, the squared flux operator is defined by normal ordering. In this case, both the mean flux and the mean squared flux are well defined local quantites. It is shown that the flux undergoes large fluctuations on a time scale of the order of the black hole's mass. Thus the semiclassical theory of gravity, in which a classical gravitational field is coupled to the expectation value of the stress tensor, breaks down below this time scale. In the second approach, one does not attempt to give meaning to the squared flux as a local quantity, but only as a time-averaged quantity. In both approaches, the mean squared mass minus the square of the mean mass grows linearly in time, but four times as fast in the second approach as in the first.

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