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In a general single field inflationary model we consider the effects of long wavelength scalar fluctuations on the effective expansion rate and equation of state seen by a class of free falling observers, using a physical gauge invariant…

General Relativity and Quantum Cosmology · Physics 2013-08-06 Giovanni Marozzi , Gian Paolo Vacca

Because of the non-linearity of the Einstein equations, the cosmological fluctuations which are generated during inflation on a wide range of wavelengths do not evolve independently. In particular, to second order in perturbation theory,…

Astrophysics · Physics 2009-11-11 Patrick Martineau , Robert Brandenberger

We evaluate the quantum backreaction due to a gauge field coupled to a pseudo-scalar field driving a slow-roll inflationary stage, the so-called axion inflation. The backreaction is evaluated for the first time using a gauge invariant…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Davide Campanella Galanti , Pietro Conzinu , Giovanni Marozzi , Simony Santos da Costa

We calculate the back-reaction of long wavelength cosmological perturbations on a general relativistic measure of the local expansion rate of the Universe. Specifically, we consider a cosmological model in which matter is described by two…

High Energy Physics - Theory · Physics 2011-07-18 Ghazal Geshnizjani , Robert Brandenberger

The presence of cosmological perturbations affects the background metric and matter configuration in which the perturbations propagate. This effect, studied a long time ago for gravitational waves, also is operational for scalar…

High Energy Physics - Theory · Physics 2016-11-03 Robert H. Brandenberger

In an inflationary regime driven by a free massive inflaton we derive within a genuinely gauge invariant approach the backreaction effects due to long wavelength scalar fluctuations on the effective Hubble factor and equation of state with…

General Relativity and Quantum Cosmology · Physics 2012-05-15 G. Marozzi , G. P. Vacca

We discuss several issues related to a recent proposal for defining classical spatial averages to be used in the so-called cosmological backreaction problem. In the large averaging-volume limit all gauge dependence disappears and different…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Giovanni Marozzi

We study the dynamics of scalar metric fluctuations in a non-perturbative variational formalism recently introduced, by which the dynamics of an geometrical scalar field $\theta$, describes the quantum geometrical effects on a Weylian-like…

General Relativity and Quantum Cosmology · Physics 2015-12-15 Mauricio Bellini

Quantum gravitational back-reaction offers the potential of simultaneously resolving the problem of the cosmological constant and providing a natural model of inflation in which scalars play no special role. In this model inflation begins…

Astrophysics · Physics 2007-05-23 R. P. Woodard

In the context of second order perturbation theory, cosmological backreaction is seen to rescale both time and the scale factor. The issue of the homogeneous limit of long-wavelength perturbations is addressed and backreaction is quantified…

Astrophysics · Physics 2009-11-11 M. Parry

A gauge-independent, invariant theory of linear scalar perturbations of inflation and gravitational fields has been created. This invariant theory allows one to compare gauges used in the work of other researchers and to find the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. Lalakulich , L. Marochnik , G. Vereshkov

The cosmological backreaction from perturbations is clearly gauge-dependent, and obviously depends on the choice of averaged Hubble rate. We consider two common choices of Hubble rate and advocate the use of comoving volume-preserving…

General Relativity and Quantum Cosmology · Physics 2013-05-14 Iain A. Brown , Joey Latta , Alan Coley

Cosmological perturbations in an expanding universe back-react on the space-time in which they propagate. Calculations to lowest non-vanishing order in perturbation theory indicate that super-Hubble-scale fluctuations act as a negative and…

High Energy Physics - Theory · Physics 2007-05-23 Robert H. Brandenberger , C. S. Lam

I consider a power-law inflationary model taking into account back-reaction effects. The interesting result is that the spectrum for the scalar field fluctuations does not depends on the expansion rate of the universe $p$ and that it result…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mauricio Bellini

The presence of cosmological fluctuations influences the background cosmology in which the perturbations evolve. This back-reaction arises as a second order effect in the cosmological perturbation expansion. The effect is cumulative in the…

High Energy Physics - Theory · Physics 2007-05-23 Robert H. Brandenberger

Quantum fluctuations of a nonminimally coupled scalar field in D-dimensional homogeneous and isotropic background are calculated within the operator formalism in curved models with time evolutions of the scale factor that allow smooth…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Tomi Koivisto , Tomislav Prokopec

We investigate the back reaction of cosmological perturbations on an inflationary universe using the renormalization-group method. The second-order zero mode solution which appears by the nonlinearity of the Einstein equation is regarded as…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yasusada Nambu

We consider the late time one-loop quantum backreaction from inflationary fluctuations of a non-minimally coupled, massless scalar field. The scalar is assumed to be a spectator field in an inflationary model with a constant principal slow…

General Relativity and Quantum Cosmology · Physics 2015-01-14 D. Glavan , T. Prokopec , D. van der Woude

We study inflationary dynamics using a recently introduced classical-quantum correspondence for investigating the backreaction of a quantum mechanical degree of freedom to a classical background. Using specifically a coupled…

General Relativity and Quantum Cosmology · Physics 2021-11-15 Reginald Christian Bernardo

Using our recent proposal for defining gauge invariant averages we give a general-covariant formulation of the so-called cosmological "backreaction". Our effective covariant equations allow us to describe in explicitly gauge invariant form…

General Relativity and Quantum Cosmology · Physics 2010-04-14 M. Gasperini , G. Marozzi , G. Veneziano
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