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Nonperturbative semiclassical stability of de Sitter spacetime for small metric deviations

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arxiv 1301.5261 v1 pith:Z6SJG4SA submitted 2013-01-22 gr-qc hep-th

Markus B. Fröb , Demetrios B. Papadopoulos , Albert Roura , Enric Verdaguer This is my paper · ORCID
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keywords deviationsmetricsittersmallsolutionsconformalexactnonperturbative
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We consider the linearized semiclassical Einstein equations for small deviations around de Sitter spacetime including the vacuum polarization effects of conformal fields. Employing the method of order reduction, we find the exact solutions for general metric perturbations (of scalar, vector and tensor type). Our exact (nonperturbative) solutions show clearly that in this case de Sitter is stable with respect to small metric deviations and a late-time attractor. Furthermore, they also reveal a breakdown of perturbative solutions for a sufficiently long evolution inside the horizon. Our results are valid for any conformal theory, even self-interacting ones with arbitrarily strong coupling.

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    Thermal photon fluctuations in a curved spacetime generate metric variance that, in the Fewster-Verch measurement scheme, equals the stochastic gravity noise kernel exactly.

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