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We present a novel derivation of scalar cosmological perturbations in the scalar-tensor extension of non-metricity gravity, where the non-metricity scalar $Q$ is non-minimally coupled to a dynamical scalar field. While previous…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Ganesh Subramaniam , Avik De , Jackson Levi Said

We address the question of ambiguity in defining a Hamiltonian for a scalar field. We point out that the Hamiltonian for a real Klein-Gordon scalar field must be consistent with the energy density obtained from the Schrodinger equation in…

High Energy Physics - Theory · Physics 2011-06-13 De-Chang Dai

We analyze the dynamics of a single scalar field in Friedmann-Robertson-Walker universes with spatial curvature. We obtain the fixed point solutions which are shown to be late time attractors. In particular, we determine the corresponding…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-30 Edmund J. Copeland , Shuntaro Mizuno , Maryam Shaeri

We extend our analysis for scalar fields in a Robertson-Walker metric to the electromagnetic field and Dirac fields by the method of invariants. The issue of the relation between conformal properties and particle production is re-examined…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , A. Gruppuso , G. Venturi

We consider the gravity interacting with matter scalar fields and quantized in the minisuperspace approach in which the wave functional is described by the Wheeler-DeWitt equations (WdW). Assuming the domination of the homogeneous and…

High Energy Physics - Theory · Physics 2016-04-08 Alexander A. Andrianov , Oleg O. Novikov , Chen Lan

We study the most general cosmological model with real scalar field which is minimally coupled to gravity. Our calculations are based on Friedmann-Lemaitre-Robertson-Walker (FLRW) background metric. Field equations consist of three…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Medine Ildes , Metin Arik

We consider the growth of cosmological perturbations in modified gravity models where a scalar field mediates a non-universal Yukawa force between different matter species. The growth of the density contrast is altered for scales below the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Philippe Brax , Carsten van de Bruck , Anne-Christine Davis , Douglas Shaw

We examine Friedmann-Robertson-Walker models in three spacetime dimensions. The matter content of the models is composed of a perfect fluid, with a $\gamma$-law equation of state, and a homogeneous scalar field minimally coupled to gravity…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Norman Cruz , Cristian Martinez

The cosmological scale factor $a(t)$ of the flat-space Robertson-Walker geometry is examined from a Hamiltonian perspective wherein $a(t)$ is interpreted as an independent dynamical coordinate and the curvature density $\sqrt {- g(a)}…

General Physics · Physics 2008-10-04 M. Ibison

This paper investigates the teleparallel Robertson--Walker (TRW) $F(T)$ gravity solutions for a scalar field source. We use the TRW $F(T)$ gravity field equations (FEs) for each $k$-parameter value case added by a scalar field to find new…

General Relativity and Quantum Cosmology · Physics 2025-01-24 Alexandre Landry

This article investigates the averaging of a scalar degree of freedom that couples universally to matter. It quantifies the approximation of smoothing the matter distribution before solving the Klein--Gordon equation. In the case of Yukawa…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Jean-Philippe Uzan , Hugo Lévy

We review the dynamical equivalence between $f(R)$ gravity in the metric formalism and scalar-tensor gravity, and use this equivalence to deduce the post-Newtonian parameters $\gamma$ and $\beta$ for a $f(R)$ theory, obtaining a result that…

General Relativity and Quantum Cosmology · Physics 2010-05-07 Monica Capone , Matteo Luca Ruggiero

Exact droplet-like solutions to the nonlinear scalar field equations have been obtained in the Robertson-Walker space-time and their linearized stability has been proved.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. P. Rybakov , B. Saha , G. N. Shikin

Massive scalar fields provide excellent dark matter candidates, whose dynamics are often explored analytically and numerically using nonrelativistic Schr\"{o}dinger-Poisson (SP) equations in a cosmological context. In this paper, starting…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Borna Salehian , Hong-Yi Zhang , Mustafa A. Amin , David I. Kaiser , Mohammad Hossein Namjoo

Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained within the scope of general relativity. In particular, we considered…

General Relativity and Quantum Cosmology · Physics 2014-11-17 B. Saha

In many cases a massive nonlinear scalar field can lead to accelerated expansion in cosmological models. This paper contains mathematical results on this subject for flat Robertson-Walker space-time. Global existence to the coupled…

Mathematical Physics · Physics 2013-09-03 Alexis Nangue

We study the dynamical evolution of cosmological models with the Robertson-Walker symmetry with a scalar field non-minimally coupled to gravity and barotropic matter. For this aim we use dynamical system methods. We have found a type of…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-02 Orest Hrycyna , Marek Szydlowski , Adam Krawiec

We consider the general scalar field Horndeski Lagrangian coupled to matter. Within this class of models, we present two results that are independent of the particular form of the model. First, we show that in a Friedmann-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Adalto R. Gomes , Luca Amendola

Scalar-tensor theory has arbitrary functions of the scalar field in front of the geometric and scalar terms in the Lagrangain. The extent to which these arbitrary functions appear in the Wheeler-deWitt wavefunction of mini-super…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Mark D. Roberts

In this paper we present the power series solution of the Klein-Gordon equation in the spacetime background of a gravitational wave with amplitude that decays with distance from the source. The resulting solution describes the interaction…

General Relativity and Quantum Cosmology · Physics 2023-06-09 Jesse Elder , Todd Fugleberg
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