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We present a gauge-invariant formalism to study the evolution of curvature perturbations in a Friedmann-Robertson-Walker universe filled by multiple interacting fluids. We resolve arbitrary perturbations into adiabatic and entropy…

Astrophysics · Physics 2011-05-05 Karim A. Malik , David Wands , Carlo Ungarelli

We study the properties of cosmological density perturbations in a multi-component system consisting of a scalar field and a perfect fluid. We discuss the number of degrees of freedom completely describing the system, introduce a full set…

We present a covariant formalism for studying nonlinear perturbations of scalar fields. In particular, we consider the case of two scalar fields and introduce the notion of adiabatic and isocurvature covectors. We obtain differential…

Astrophysics · Physics 2010-10-27 David Langlois , Filippo Vernizzi

Low energy effective field theories motivated by string theory will likely contain several scalar moduli fields which will be relevant to early Universe cosmology. Some of these fields are expected to couple with non-standard kinetic terms…

Astrophysics · Physics 2009-11-07 Fabrizio Di Marco , Fabio Finelli , Robert Brandenberger

The evolution of non-adiabatic perturbations in models with multiple coupled perfect fluids with non-adiabatic sound speed is considered. Instead of splitting the entropy perturbation into relative and intrinsic parts, we introduce a set of…

General Relativity and Quantum Cosmology · Physics 2011-05-12 N. A. Koshelev

We develop a covariant formalism to study nonlinear perturbations of dissipative and interacting relativistic fluids. We derive nonlinear evolution equations for various covectors defined as linear combinations of the spatial gradients of…

Astrophysics · Physics 2009-11-11 David Langlois , Filippo Vernizzi

In the full nonlinear cosmological perturbation theory in the leading order of the gradient expansion, all the types of the gauge invariant perturbation variables are defined. The metric junction conditions across the spacelike transition…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-05 Takashi Hamazaki

We discuss the non-adiabatic or entropy perturbation, which controls the evolution of the curvature perturbation in the uniform density gauge, for a scalar field system minimally coupled to gravity with non-canonical action. We highlight…

Astrophysics · Physics 2010-01-07 Adam J. Christopherson , Karim A. Malik

We adopt a covariant formalism to derive exact evolution equations for nonlinear perturbations, in a universe dominated by two scalar fields. These scalar fields are characterized by non-canonical kinetic terms and an arbitrary field space…

High Energy Physics - Theory · Physics 2009-01-23 Sebastien Renaux-Petel , Gianmassimo Tasinato

An analysis of adiabatic perturbations of a perfect fluid is performed to first-order about a general FLRW background using the 1+3 covariant and gauge-invariant formalism. The analog of the Mukhanov-Sasaki variable and the canonical…

General Relativity and Quantum Cosmology · Physics 2009-09-30 Sylvain D. Brechet , Michael P. Hobson , Anthony N. Lasenby

We study models of non-minimally coupled relativistic fluid and $k$-essence scalar field in the background of a flat Friedmann-Lemaitre-Robertson-Walker universe. The non-minimal coupling term is introduced in the Lagrangian level. We…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Anirban Chatterjee , Saddam Hussain , Kaushik Bhattacharya

We examine the scenario of non-minimally coupled relativistic fluid and $k$-essence scalar field in a flat Friedmann-Lemaitre-Robertson-Walker universe. By adding a non-minimal coupling term in the Lagrangian level, we study the variation…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Anirban Chatterjee , Saddam Hussain , Kaushik Bhattacharya

We develop a formulation of nonlinear cosmological perturbations on superhorizon scales in multi-fluid systems. It is based on the Arnowitt-Deser-Misner formalism combined with a spatial gradient expansion characterized by a small expansion…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Hayami Iizuka , Tomohiro Harada

We generalize the perturbations theory of loop quantum cosmology to a hydrodynamical form and define an effective curvature perturbation on an uniform density hypersurfaces $\zeta_e$. As in the classical cosmology, $\zeta_e$ should be…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Yu Li , Jian-Yang Zhu

We apply the decoherence formalism to an interacting scalar field theory. In the spirit of the decoherence literature, we consider a "system field" and an "environment field" that interact via a cubic coupling. We solve for the propagator…

High Energy Physics - Theory · Physics 2015-03-13 Jurjen F. Koksma , Tomislav Prokopec , Michael G. Schmidt

We investigate the cosmological perturbations in generalized gravity, where the Ricci scalar and a scalar field are non-minimally coupled via an arbitrary function. In the Friedmann-Lemaitre-Robertson-Walker background, by studying the…

High Energy Physics - Theory · Physics 2009-07-30 Xiangdong Ji , Tower Wang

We study the second-order gauge-invariant adiabatic and isocurvature perturbations in terms of the scalar fields present during inflation, along with the related fully non-linear space gradient of these quantities. We discuss the relation…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-01 Eleftheria Tzavara , Bartjan van Tent

We explore a new type of entropic mechanism for generating density perturbations in a contracting phase in which there are two scalar fields, but only one has a steep negative potential. This first field dominates the energy density and is…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Anna Ijjas , Jean-Luc Lehners , Paul J. Steinhardt

If dark energy interacts with dark matter, this gives a new approach to the coincidence problem. But interacting dark energy models can suffer from pathologies. We consider the case where the dark energy is modelled as a fluid with constant…

Astrophysics · Physics 2008-11-26 Jussi Valiviita , Elisabetta Majerotto , Roy Maartens

The universe can be made flat and smooth by undergoing a phase of ultra-slow (ekpyrotic) contraction, a condition achievable with a single, canonical scalar field and conventional general relativity. It has been argued, though, that…

High Energy Physics - Theory · Physics 2010-04-06 Justin Khoury , Paul J. Steinhardt
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