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It is often the case that scalar fields are produced in the early Universe in the form of coherent oscillation. These scalar fields may have huge abundances and affect the evolution of the Universe. In particular, if the lifetime is long…

High Energy Physics - Phenomenology · Physics 2013-02-20 Masahiro Kawasaki , Naoya Kitajima , Kazunori Nakayama

We investigate quantum vacuum effects for a massive scalar field, induced by two planar boundaries in background of a linearly expanding spatially flat Friedmann-Robertson-Walker spacetime for an arbitrary number of spatial dimensions. For…

High Energy Physics - Theory · Physics 2020-02-18 A. A. Saharian , T. A. Petrosyan , S. V. Abajyan , B. B. Nersisyan

We consider oscillons - localized, quasiperiodic, and extremely long-living classical solutions in models with real scalar fields. We develop their effective description in the limit of large size at finite field strength. Namely, we note…

High Energy Physics - Theory · Physics 2022-12-19 D. G. Levkov , V. E. Maslov , E. Ya. Nugaev , A. G. Panin

The exact static solutions in the higher dimensional Einstein-Maxwell-Klein- Gordon theory are investigated. With the help of the methods developed for the effective dilaton type gauge gravity models in two dimensions, we find new…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tekin Dereli , Yuri N. Obukhov

We solve the Klein-Gordon equation for a massive, non-minimally coupled scalar field, with a conformal coupling, undergoing cosmological evolution from a radiation-dominated phase to a future sudden singularity. We show that, after…

General Relativity and Quantum Cosmology · Physics 2013-05-29 J. D. Barrow , A. B. Batista , G. Dito , J. C. Fabris , M. J. S. Houndjo

We study the modular Hamiltonian of an interval for the ground state of a massive free scalar field on the half line with Robin boundary conditions, by employing a numerical method. When the interval is adjacent to the boundary, we find…

High Energy Physics - Theory · Physics 2025-12-05 Christoph Minz , Erik Tonni

In this work we study spin-0 particles described by the Klein-Gordon oscillator formalism in a spacetime which structure is determined by a homogeneous magnetic field and a cosmological constant. For this purpose we take into account a…

General Relativity and Quantum Cosmology · Physics 2024-12-30 L. G. Barbosa , C. C. Barros

This paper deals with the Klein-Gordon-Maxwell system in a bounded spatial domain. We study the existence of solutions having a specific form, namely standing waves in equilibrium with a purely electrostatic field. We prescribe Dirichlet…

Analysis of PDEs · Mathematics 2008-12-17 Pietro d'Avenia , Lorenzo Pisani , Gaetano Siciliano

The bosonic signature operator is defined for Klein-Gordon fields and massless scalar fields on globally hyperbolic Lorentzian manifolds of infinite lifetime. The construction is based on an analysis of families of solutions of the…

Mathematical Physics · Physics 2023-04-18 Felix Finster , Albert Much

We derive the global dynamic properties of the mMKG system (Maxwell coupled with a massive Klein-Gordon scalar field) with a general, unrestrictive class of data, in particular, for Maxwell field of arbitrary size, and by a gauge…

Analysis of PDEs · Mathematics 2019-02-26 Allen Fang , Qian Wang , Shiwu Yang

In this article we prove that the Klein-Gordon equation in the de Sitter spacetime obeys the Huygens' principle only if the physical mass $m$ of the scalar field and the dimension $n\geq 2$ of the spatial variable are tied by the equation…

Mathematical Physics · Physics 2014-09-02 Karen Yagdjian

We investigate the cosmological model with the complex scalar self-interacting inflaton field non-minimally coupled to gravity. The different geometries of the Euclidean classically forbidden regions are represented. The instanton solutions…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Yu. Kamenshchik , I. M. Khalatnikov , A. V. Toporensky

We consider the free Klein-Gordon equation with periodic damping. We show on this simple model that if the usual geometric condition holds then the decay of the energy is uniform with respect to the oscillations of the damping, and in…

Mathematical Physics · Physics 2017-09-14 Julien Royer

In this paper we analyse the relativistic quantum motion of a charged spin-0 particle in the presence of a dyon, Aharonov-Bohm magnetic field and scalar potential, in the spacetimes produced by an idealized cosmic string and global…

High Energy Physics - Theory · Physics 2009-11-11 A. L. Cavalcanti de Oliveira , E. R. Bezerra de Mello

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

In the present paper, we investigate the ground state energy of a massless scalar field and generation of topological mass by considering a quasi-periodically identified Minkowski spacetime and the `half-Einstein Universe', that is, an…

High Energy Physics - Theory · Physics 2021-07-06 Paulo J. Porfírio , Herondy F. Santana Mota , Gabriel Queiroz Garcia

In this study, we analyze solutions of the wave equation for scalar particles in a space-time with nontrivial topology. Solutions for the Klein--Gordon oscillator are found considering two configurations of this space-time. In the first…

High Energy Physics - Theory · Physics 2019-11-04 L. C. N. Santos , C. E. Mota , C. C. Barros

In this paper, we consider the multi component fields interactions of the complex scalar fields and the electromagnetic fields (Maxwell-Klein-Gordon system) on four dimensional Minkowski spacetime with general gauge couplings and the scalar…

Mathematical Physics · Physics 2021-10-05 Mulyanto , Fiki Taufik Akbar , Bobby Eka Gunara

The present paper is a follow-up of our previous paper that derives a slightly simplified model equation for the Klein-Gordon equation, describing the propagation of a scalar field of mass $\mu$ in the background of a rotating black hole…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Horst Reinhard Beyer , Miguel Alcubierre , Miguel Megevand

In contrast to Hamiltonian perturbation theory which changes the time evolution, "spacelike deformations" proceed by changing the translations (momentum operators). The free Maxwell theory is only the first member of an infinite family of…

Mathematical Physics · Physics 2020-09-03 Vincenzo Morinelli , Karl-Henning Rehren