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This paper reviews the dynamics of an isotropic and homogeneous cosmological scalar field. A general approach to the solution of the Einstein-Klein-Gordon equations is developed, which does not require slow-roll or other approximations.…

General Relativity and Quantum Cosmology · Physics 2025-04-15 J. W. van Holten

We consider Randall-Sundrum two-brane cosmological model in the low energy gradient expansion approximation by Kanno and Soda. It is a scalar-tensor theory with a specific coupling function. We find a first integral of equations for the…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Piret Kuusk , Laur Jarv , Margus Saal

We numerically solve the Klein-Gordon equation at second order in cosmological perturbation theory in closed form for a single scalar field, describing the method employed in detail. We use the slow-roll version of the second order source…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-18 Ian Huston , Karim A. Malik

We study the cosmology of a covariant scalar field respecting a Galilean symmetry in flat space-time. We show the existence of a tracker solution that finally approaches a de Sitter fixed point responsible for cosmic acceleration today. The…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Antonio De Felice , Shinji Tsujikawa

This research focus on the investigation of relativistic quantum dynamics of spin0 scalar particles/fields through the utilization of the Klein-Gordon (KG) equation within the framework of an electrovacuum space-time in the presence of an…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Faizuddin Ahmed , Abdelmalek Bouzenada

We study the Fock quantization of scalar fields in (generically) time dependent scenarios, focusing on the case in which the field propagation occurs in --either a background or effective-- spacetime with spatial sections of flat compact…

General Relativity and Quantum Cosmology · Physics 2012-11-26 Laura Castelló Gomar , Jerónimo Cortez , Daniel Martín-de Blas , Guillermo A. Mena Marugán , José M. Velhinho

We establish a correspondence between a conformally invariant complex scalar field action (with a conformal self-interaction potential) and the action of a phantom scalar field minimally coupled to gravity (with a cosmological constant). In…

High Energy Physics - Theory · Physics 2008-11-26 Mokhtar Hassaine

We consider the propagation of a generic scalar field around a rotating and charged black hole. Using the partial wave method, we find, numerically, the total and partial absorption cross sections for different incidence angles. We…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Carolina L. Benone , Luís C. B. Crispino

It is showed that complex scalar fields with a self-interaction potential may propagate along null geodesics on flat Friedmann--Lema\^itre--Robertson--Walker universes with different time-dependent scale factors. This occurs provided they…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Felipe A. Asenjo , Sergio A. Hojman

We investigate a novel mapping between solutions to several members of the Klein-Gordon family of equations and solutions to equations describing their reductions via the slowly varying envelope approximation. This mapping creates a link…

Mathematical Physics · Physics 2021-05-11 Charles W. Robson , Fabio Biancalana

We study a model of scalar field with kinetic terms non-minimally coupled to to the curvature, and the scalar field coupled to the Gauss Bonnet 4-dimensional invariant. A variety of solutions are found, giving rise to different cosmological…

General Relativity and Quantum Cosmology · Physics 2015-05-30 L. N. Granda

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 explore a cosmological model in which dark matter is non-minimally coupled to gravity at the fluid level. While typically subdominant compared to Standard Model forces, such couplings may dominate dark matter dynamics. We show that this…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Samuele Silveravalle , Andrea Lapi , Francesco Benetti , Stefano Liberati

We analyze the quantum dynamics of a scalar field in a spacetime incorporating dual topological defects, specifically a cosmic string and a global monopole. Utilizing a generalized metric that encapsulates the combined geometric effects of…

General Relativity and Quantum Cosmology · Physics 2025-04-30 L. G. Barbosa , L. C. N. Santos , J. V. Zamperlini , F. M da Silva

We present a condition on the self-interaction term that guaranties the existence of the global in time solution of the Cauchy problem for the semilinear Klein-Gordon equation in the Friedmann-Lama$\hat{i}$tre-Robertson-Walker model of the…

Mathematical Physics · Physics 2020-06-08 Anahit Galstian , Karen Yagdjian

This work studies the relativistic quantum dynamics of scalar bosons in a spacetime containing both a cosmic string and a global monopole within the framework of Rainbow Gravity. An effective metric is constructed to describe the combined…

General Relativity and Quantum Cosmology · Physics 2026-03-02 L. G. Barbosa , J. V. Zamperlini , L. C. N. Santos

We study topological defects with a general structure in higher-dimensional cosmological backgrounds described by a set of angle deficit parameters. As special cases, they include higher-dimensional generalizations of cosmic strings and…

High Energy Physics - Theory · Physics 2026-01-29 A. A. Saharian , G. V. Mirzoyan , G. H. Harutyunyan , R. M. Avagyan

In this work, we analyze the cosmological model in which the expansion is driven by a classical, free Klein-Gordon field on a flat, four-dimensional Friedmann-Lema\^itre-Robertson-Walker spacetime. The model allows for arbitrary mass,…

General Relativity and Quantum Cosmology · Physics 2024-08-30 Eleni-Alexandra Kontou , Nicolai Rothe

Recently, it has been shown that the generalized symmetric Woods-Saxon potential energy, in which surface interaction terms are taken into account, describes the physical processes better than the standard form. Therefore in this study, we…

Nuclear Theory · Physics 2018-01-22 B. C. Lütfüoğlu , J. Lipovský , J. Kříž

We discuss the nonlinear origin of the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in even-dimensional spacetimes. Using third-order perturbation method, we derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Piotr Bizoń , Tadeusz Chmaj , Andrzej Rostworowski