Abstract
The two-point function characterizing the stresstensor fluctuations of a massless, minimally coupledfield for an invariant vacuum state in de Sitterspacetime is discussed. This two-point function is explicitly computed for spacelike-separatedpoints which are geodesically connected. We show thatthese fluctuations are as important as the expectationvalue of the stress tensor itself. These quantum field fluctuations will induce fluctuations inthe geometry of de Sitter spacetime. This paper is afirst step toward the computation of such metricfluctuations, which may be of interest for large-scale structure formation in cosmology. The relevanceof our results in this context is brieflydiscussed.
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Roura, A., Verdaguer, E. Spacelike Fluctuations of the Stress Tensor for de Sitter Vacuum. International Journal of Theoretical Physics 38, 3123–3133 (1999). https://doi.org/10.1023/A:1026624603044
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DOI: https://doi.org/10.1023/A:1026624603044