Gauge invariant averages for the cosmological backreaction

Abstract

We show how to provide suitable gauge invariant prescriptions for the classical spatial averages (resp. quantum expectation values) that are needed in the evaluation of classical (resp. quantum) backreaction effects. We also present examples illustrating how the use of gauge invariant prescriptions can avoid interpretation problems and prevent misleading conclusions.

arXiv comment21 pages, no figures. Comments and references added, typos corrected. Small corrections and reference added, matches version published in JCAP

References in corpus (38)

• A general proof of the conservation of the curvature perturbation
• Second-Order Cosmological Perturbations from Inflation
• On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
• Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond
• On the Back Reaction Problem for Gravitational Perturbations
• The Energy-Momentum Tensor for Cosmological Perturbations
• The Quantum Gravitational Back-Reaction On Inflation
• On average properties of inhomogeneous fluids in general relativity II: perfect fluid cosmologies
• On cosmic acceleration without dark energy
• Second-order Perturbations of the Friedmann World Model
• Observables in effective gravity
• Dark energy from backreaction
• Can the Acceleration of Our Universe Be Explained by the Effects of Inhomogeneities?
• Back Reaction And Local Cosmological Expansion Rate
• Evolution of second-order cosmological perturbations
• Effect of inhomogeneities on the expansion rate of the Universe
• Non-gaussianity from the second-order cosmological perturbation
• Metric Perturbations in Dilaton-Driven Inflation
• Evolution of non-linear cosmological perturbations
• Cosmological parameters are dressed
• Regional averaging and scaling in relativistic cosmology
• Back Reaction Of Perturbations In Two Scalar Field Inflationary Models
• No One Loop Back_Reaction In Chaotic Inflation
• Can infrared gravitons screen $\Lambda$?
• Long-wavelength metric backreactions in slow-roll inflation
• Gauge-invariant perturbations at second order: multiple scalar fields on large scales
• A Scalar Measure Of The Local Expansion Rate
• Cosmological long wavelength perturbations
• One Loop Back Reaction On Chaotic Inflation
• On the conservation of second-order cosmological perturbations in a scalar field dominated universe
• One Loop Back Reaction On Power Law Inflation
• The Effects of Gravitational Back-Reaction on Cosmological Perturbations
• Energy-Momentum Tensor of Cosmological Fluctuations during Inflation
• Cosmic Inhomogeneities and the Average Cosmological Dynamics
• Second Order Gauge-Invariant Perturbations during Inflation
• Coarse-Grained Back Reaction in Single Scalar Field Driven Inflation
• Back-reaction of Cosmological Fluctuations during Power-Law Inflation
• Back-Reaction of Cosmological Perturbations in the Infinite Wavelength Approximation

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• Back-Reaction of Super-Hubble Cosmological Perturbations Beyond Perturbation Theory
• Path Integral for Inflationary Perturbations
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• The Hubble rate in averaged cosmology
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• The cosmological backreaction: gauge (in)dependence, observers and scalars
• Late time anisotropy as an imprint of cosmological backreaction
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• Patient Observers and Non-perturbative Infrared Dynamics in Inflation
• Future deceleration due to cosmic backreaction in presence of the event horizon
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• Backreaction: Gauge and Frame Dependences
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• Synchronous coordinates and gauge-invariant observables in cosmological spacetimes
• Energy of cosmological spacetimes and perturbations: a quasilocal approach
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