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Scalar field entanglement entropy of a Schwarzschild black hole from the Schmidt decomposition viewpoint

E D Belokolos1 and M V Teslyk2

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Scalar field entropy generated with the black hole horizon is considered in the light of the Schmidt decomposition to internal and external states of the field. Within the frame of this approach, the unitary character of the black hole evolution appears to be natural. We estimated the ratio of radiation field entropy to the Bekenstein–Hawking entropy, which has appeared to be small; in the zeroth order the ratio is constant. The obtained corrections to the massive radiation component are found to have both negative and positive values, hence witnessing the possibility of the information outflow from the black holes.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.60.-m Quantum gravity

04.62.+v Quantum fields in curved spacetime

MSC

83C75 Space-time singularities, cosmic censorship, etc.

83C45 Quantization of the gravitational field

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 23 (7 December 2009)

Received 2 April 2009, in final form 12 October 2009

Published 6 November 2009



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