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Backreaction from non-conformal quantum fields in de Sitter spacetime

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arxiv 0806.2634 v1 pith:F5NYORTJ submitted 2008-06-16 gr-qc astro-ph.COhep-th

Backreaction from non-conformal quantum fields in de Sitter spacetime

classification gr-qc astro-ph.COhep-th
keywords fieldnon-conformalsitterbackreactionmassquantumregimesmall
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the backreaction on the mean field geometry due to a non-conformal quantum field in a Robertson-Walker background. In the regime of small mass and small deviation from conformal coupling, we compute perturbatively the expectation value of the stress tensor of the field for a variety of vacuum states, and use it to obtain explicitly the semiclassical gravity solutions for isotropic perturbations around de Sitter spacetime, which is found to be stable. Our results show clearly the crucial role of the non-local terms that appear in the effective action: they cancel the contribution from local terms proportional to the logarithm of the scale factor which would otherwise become dominant at late times and prevent the existence of a stable self-consistent de Sitter solution. Finally, the opposite regime of a strongly non-conformal field with a large mass is also considered.

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