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Scalar field fluctuations in Schwarzschild-de Sitter space-time

Authors
  • Cho, Hing-Tong
  • Ng, Kin-Wang
  • Wang, I-Chin
Type
Published Article
Publication Date
Jan 24, 2011
Submission Date
May 13, 2009
Identifiers
DOI: 10.1088/0264-9381/28/5/055004
Source
arXiv
License
Yellow
External links

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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