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Backreaction during Inflation: A Physical Gauge Invariant Formulation

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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F. Finelli, G. Marozzi, G. P. Vacca, G. Venturi. Backreaction during Inflation: A Physical Gauge Invariant Formulation. Physical Review Letters, 2011, 106, ⟨10.1103/PhysRevLett.106.121304⟩. ⟨insu-03646026⟩

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