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Scalar field fluctuations in Schwarzschild-de Sitter space-time

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Published Article
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DOI: 10.1088/0264-9381/28/5/055004
arXiv ID: 0905.2041
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arXiv
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Abstract

We calculate quantum fluctuations of a free scalar field in the Schwarzschild-de Sitter space-time, adopting the planar coordinates that is pertinent to the presence of a black hole in an inflationary universe. In a perturbation approach, doing expansion in powers of a small black hole event horizon compared to the de Sitter cosmological horizon, we obtain time evolution of the quantum fluctuations and then derive the scalar power spectrum.

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