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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

Nonperturbative semiclassical stability of de Sitter spacetime for small metric deviations

classification gr-qc hep-th
keywords deviationsmetricsittersmallsolutionsconformalexactnonperturbative
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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