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One-loop quantum gravitational backreaction on the local Hubble rate

We determine corrections to the Hubble rate due to graviton loops in a cosmological background spacetime of constant deceleration parameter. The corrections are gauge-invariant, based on a recent proposal for all-order gauge-invariant observables in perturbative quantum gravity. We find explicit exp...

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Bibliographic Details
Published in:Classical and quantum gravity 2019-05, Vol.36 (9), p.95010
Main Author: Fröb, Markus B
Format: Article
Language:English
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Summary:We determine corrections to the Hubble rate due to graviton loops in a cosmological background spacetime of constant deceleration parameter. The corrections are gauge-invariant, based on a recent proposal for all-order gauge-invariant observables in perturbative quantum gravity. We find explicit expressions for the cases of matter- and radiation-dominated eras and slow-roll inflation with vanishing second slow-roll parameter. Interestingly, in the latter case the corrections can be described by a quantum-corrected first slow-roll parameter, which brings the spacetime closer to de Sitter space.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ab10fb