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A Quantitative Version of Hawking Radiation

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Abstract

We present a proof of the existence of the Hawking radiation for massive bosons in the Schwarzschild--de Sitter metric. It provides estimates for the rates of decay of the initial quantum state to the Hawking thermal state. The arguments in the proof include a construction of radiation fields by conformal scattering theory; a semiclassical interpretation of the blueshift effect; the use of a WKB parametrix near the surface of a collapsing star. The proof does not rely on the spherical symmetry of the spacetime.

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Authors and Affiliations

  1. Université Joseph Fourier, Saint-Martin-d’Hères, France

    Alexis Drouot

  2. University of California, Berkeley, CA, USA

    Alexis Drouot

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  1. Alexis Drouot
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Correspondence to Alexis Drouot.

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Communicated by Karl-Henning Rehren.

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Drouot, A. A Quantitative Version of Hawking Radiation. Ann. Henri Poincaré 18, 757–806 (2017). https://doi.org/10.1007/s00023-016-0509-2

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  • DOI: https://doi.org/10.1007/s00023-016-0509-2

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