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In this brief note we present a set of equations describing the evolution of perturbed scalar fields in a cosmological spacetime with multiple scalar fields. We take into account of the simultaneously excited full metric perturbations in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Hwang

We investigate the large scale cosmological perturbation in the Universe with multiple perfect fluids. Using the long-wavelength approximation with Hamilton-Jacobi method, we derive the formula for the gauge invariant comoving curvature…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yasusada Nambu , Shin-ichi Ohokata

Curvature perturbations with short wavelengths exit the Hubble horizon when the universe may contain a thermal plasma in addition to an inflaton field that drives its expansion. We solve the corresponding fluctuation-dissipation dynamics at…

High Energy Physics - Phenomenology · Physics 2026-01-05 M. Laine , S. Procacci , A. Rogelj

In this letter we show how to perform a systematic perturbative approach for the mode-coupling theory. The results coincide with those obtained via the replica approach. The upper critical dimension turns out to be always 8 and the…

Disordered Systems and Neural Networks · Physics 2010-01-13 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

Non-minimally coupled scalar field models suffer of unstable growing modes at the linear perturbation level. The nature of these instabilities depends on the dynamical state of the scalar field. In particular in systems which admit…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-15 Pier Stefano Corasaniti

A united approach of the large-scale structure of a closed universe and the local spherically symmetric gravitational field is given by supposing an appropriate boundary condition. The general feature of the model obtained are the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Guang-Wen Ma , Zong-Kuan Guo

Perturbation theory for a class of topological field theories containing antisymmetric tensor fields is considered. These models are characterized by a supersymmetric structure which allows to establish their perturbative finiteness.

High Energy Physics - Theory · Physics 2015-06-26 Nicola Maggiore , Silvio P. Sorella

The spherically symmetric perturbations in the spatially flat Friedman models are considered. It is assumed that the Friedmannian density and pressure are related through a linear equation of state. The perturbation is joined smoothly with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. A. Popov , R. K. Muharlyamov

In bouncing cosmology, the primordial fluctuations are generated in a cosmic contraction phase before the bounce into the current expansion phase. For a nonsingular bounce, curvature and anisotropy grow rapidly during the bouncing phase,…

General Relativity and Quantum Cosmology · Physics 2013-10-30 BingKan Xue , David Garfinkle , Frans Pretorius , Paul J. Steinhardt

I show that cosmological perturbation spectra produced from quantum fluctuations in massless or self-interacting scalar fields during an inflationary era remain invariant under a two parameter family of transformations of the homogeneous…

General Relativity and Quantum Cosmology · Physics 2009-10-31 David Wands

Two-parameter perturbation theory is a scheme tailor-made to consistently include nonlinear density contrasts on small scales ($<100\; \mathrm{Mpc}$), whilst retaining a traditional approach to cosmological perturbations in the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Christopher Gallagher , Timothy Clifton , Chris Clarkson

This work deals with the theory of a quantized spin-2 field in the framework of causal perturbation theory. It is divided into two parts. In the first part we analyze the gauge structure of a massless self-interacting quantum tensor field.…

High Energy Physics - Theory · Physics 2007-05-23 M. Wellmann

The spatial curvature of the universe is not yet known. Even though at present the Universe is very close to being essentially flat and most signatures of curvature appear to have been diluted by inflation, if the number of e-foldings…

High Energy Physics - Theory · Physics 2021-12-23 Sebastian Cespedes , Senarath de Alwis , Francesco Muia , Fernando Quevedo

We study perturbative unitarity bounds on the field-space curvature in de Sitter spacetime, using the momentum-space entanglement approach recently proposed by Duaso Pueyo, Goodhew, McCulloch, and Pajer. As an illustration, we perform a…

High Energy Physics - Theory · Physics 2026-03-17 Qianhang Cai , Tomoya Inada , Masataka Ishikawa , Kanji Nishii , Toshifumi Noumi

We study adiabatic (curvature) and entropy (isocurvature) perturbations produced during a period of cosmological inflation that is driven by multiple scalar fields with an arbitrary interaction potential. A local rotation in field space is…

Astrophysics · Physics 2009-10-31 Christopher Gordon , David Wands , Bruce A. Bassett , Roy Maartens

Perturbative techniques are important for modified theories of gravity since they allow to calculate deviations from General Relativity without recurring to exact solutions, which can be difficult to find. When applied to models such as…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Daniel Molano , Fabián Darío Villalba , Leonardo Castañeda , Pedro Bargueño

We revisit the question of whether fluctuations in hydrodynamical, adiabatical matter could explain the observed structures in our Universe. We consider matter with variable equation of state $w=p_0/\ep_0$ and a concomitant (under the…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-06 J. Magueijo , J. Noller

We present a critical review about the study of linear perturbations of matched spacetimes including gauge problems. We analyse the freedom introduced in the perturbed matching by the presence of background symmetries and revisit the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marc Mars , Filipe C. Mena , Raul Vera

We provide a new derivation of the anisotropies of the cosmic microwave background (CMB), and find an exact expression that can be readily expanded perturbatively. Close attention is paid to gauge issues, with the motivation to examine the…

Astrophysics · Physics 2009-01-08 J. P. Zibin , Douglas Scott

This paper investigates the phenomenon of emergence of spatial curvature. This phenomenon is absent in the Standard Cosmological Model, which has a flat and fixed spatial curvature (small perturbations are considered in the Standard…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-01 Krzysztof Bolejko