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Backreaction during Inflation: A Physical Gauge Invariant Formulation

2011/01/31 by F. Finelli⋆, F. Finelli, G. Marozzi +4 · 35 citations
Physics and Astronomy · #Back-reaction #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gauge (firearms) #Geometry #Invariant (physics) #Mathematical physics #Physics #Relativity and Gravitational Theory #Scalar (mathematics) #Theoretical physics #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.106.121304

published in Physical Review Letters 106(12), 121304 (American Physical Society) · 4 pages. Typos corrected, comment added, version accepted for publication in Phys. Rev. Lett

arxiv created 2011/02/28 · openalex publication_date 2011/03/23 · arxiv updated 2011/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Within a genuinely gauge invariant approach recently developed for the computation of the cosmological backreaction, we study, in a cosmological inflationary context and with respect to various observers, the impact of scalar fluctuations on the space-time dynamics in the long wavelength limit. We stress that such a quantum backreaction effect is evaluated in a truly gauge independent way using a set of effective equations which describe the dynamics of the averaged geometry. In particular we show under what conditions the free falling (geodetic) observers do not experience any scalar-induced backreaction in the effective Hubble rate and fluid equation of state.

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