Spacelike Fluctuations of the Stress Tensor for de Sitter Vacuum

Details Spacelike Fluctuations of the Stress Tensor for de Sitter Vacuum Spacelike Fluctuations of the Stress Tensor for de Sitter Vacuum

1999-04-16

arxiv.org/abs/gr-qc/9904039v1

Int.J.Theor.Phys.38:3123-3133,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

revTeX, 7 pages. To appear in the proceedings of the 3rd Peyresq meeting

Scientific paper

10.1023/A:1026624603044

The two-point function characterizing the stress tensor fluctuations of a massless minimally coupled field for an invariant vacuum state in de Sitter spacetime is discussed. This two-point function is explicitly computed for spacelike separated points which are geodesically connected. We show that these fluctuations are as important as the expectation value of the stress tensor itself. These quantum field fluctuations will induce fluctuations in the geometry of de Sitter spacetime. This paper is a first step towards the computation of such metric fluctuations, which may be of interest for large-scale structure formation in cosmology. The relevance of our results in this context is briefly discussed.

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