Scalar field fluctuations in Schwarzschild-de Sitter space-time

Details Scalar field fluctuations in Schwarzschild-de Sitter space-time Scalar field fluctuations in Schwarzschild-de Sitter space-time

2009-05-13

arxiv.org/abs/0905.2041v4

Class.Quant.Grav.28:055004,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

16 pages and 4 figures, accepted by Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/28/5/055004

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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