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The classical scalar massive field satisfying the Klein-Gordon equation in a finite one-dimensional space interval of periodically varying length with Dirichlet boundary conditions is studied. For the sufficiently small mass, the energy can…

Mathematical Physics · Physics 2008-11-26 J. Dittrich , P. Duclos

The Klein-Gordon equations were recently solved in general relativity for the case of a plane-symmetric static massless scalar field with cosmological constant. By analytic continuation, time-dependent solutions can be obtained that…

General Relativity and Quantum Cosmology · Physics 2009-04-22 Chris Vuille , Jocelyn Dunn

In this paper, we consider the propagation of waves in the space-time of a single black hole with a static Schwarzschild radius in the expanding universe, namely, the solutions of the linear and semilinear Klein-Gordon equations.

Analysis of PDEs · Mathematics 2024-10-22 Karen Yagdjian , Anahit Galstian

We study analytically the Klein-Gordon wave equation for stationary massive scalar fields linearly coupled to spinning Kerr black holes. In particular, using the WKB approximation, we derive a compact formula for the discrete spectrum of…

High Energy Physics - Theory · Physics 2017-03-21 Shahar Hod

We investigate BBN in scalar-tensor theories of gravity with arbitrary matter couplings and self-interaction potentials. We first consider the case of a massless dilaton with a quadratic coupling to matter. We perform a full numerical…

Astrophysics · Physics 2009-01-14 Alain Coc , Keith A. Olive , Jean-Philippe Uzan , Elisabeth Vangioni

Recently, solutions of the Ishibashi, Kawai, Kitazawa and Tsuchiya matrix theory have been found, which can be interpreted as 3+1-dimensional quantum geometries describing an effective Friedmann-Lema\^{i}tre-Robertson-Walker cosmology with…

General Relativity and Quantum Cosmology · Physics 2023-05-02 Emmanuele Battista , Harold C. Steinacker

By using geometric methods and superenergy tensors, we find new simple criteria for the causal propagation of physical fields in spacetimes of any dimension. The method can be applied easily to many different theories and to arbitrary…

General Relativity and Quantum Cosmology · Physics 2010-04-06 G. Bergqvist , J. M. M. Senovilla

We study the complete time evolution of scalar fields propagating in space-times of higher dimensional Lifshitz Black Holes with dynamical critical exponent $z=2$, obtained from a theory including the most general quadratic curvature…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Elcio Abdalla , Owen Pavel Fernández Piedra , Fidel Sosa Nuñez , Jeferson de Oliveira

Jordan-Brans-Dicke theories with a linearized potential for the scalar field are investigated in the framework of the stochastic approach. The fluctuations of this field are examined and their backreaction on the classical background is…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Z. Lalak , R. Poppe

Robertson-Walker spacetimes within a large class are geometrically extended to larger cosmologies that include spacetime points with zero and negative cosmological times. In the extended cosmologies, the big bang is lightlike, and though…

Mathematical Physics · Physics 2018-01-23 David Klein , Jake Reschke

We consider the emergence of large-scale cosmological expansion in scalar-tensor theories of gravity. This is achieved by modelling sub-horizon regions of space-time as weak-field expansions around Minkowski space, and then subsequently…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Chad Briddon , Timothy Clifton , Pierre Fleury

The massive, real scalar field described by the Klein-Gordon equation in one spatial dimension is the most elementary example of a bosonic quantum field theory. It has been investigated for many decades either as a simple academic theory or…

Mesoscale and Nanoscale Physics · Physics 2025-03-27 Tobias Boorman , Bernd Braunecker

It has been argued that the small perturbations to the homogeneous and isotropic configurations of a canonical scalar field in an expanding universe do not grow. We show that this is not true in general, and clarify the root of the…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Miguel Alcubierre , Axel de la Macorra , Alberto Diez-Tejedor , José M. Torres

The pre--big bang cosmological scenario is studied within the context of the Brans--Dicke theory of gravity. An epoch of superinflationary expansion may occur in the pre--big bang phase of the Universe's history in a certain region of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 James E. Lidsey

We study the solutions to the Klein-Gordon equation for the massive scalar field in the universal covering space of two-dimensional anti-de Sitter space. For certain values of the mass parameter, we impose a suitable set of boundary…

Mathematical Physics · Physics 2023-01-12 Atsushi Higuchi , Lasse Schmieding , David Serrano Blanco

A simple model for a scalar field and gravity admits homogeneous isotropic cosmological solutions which cross the Big Bang singularity. In the scaling frame with field dependent effective Planck mass these solutions are regular. They become…

General Relativity and Quantum Cosmology · Physics 2021-07-27 C. Wetterich

The Pre-Big Bang cosmology inspired generations of cosmologists in attempts to cure the initial Big Bang singularity using a fundamental length scale as proposed by String Theory. The existence of a phase of collapse/inflation with…

General Relativity and Quantum Cosmology · Physics 2022-07-14 V. Bozza

We derive exact Friedmann--Robertson--Walker cosmological solutions in general scalar--tensor gravity theories, including Brans--Dicke gravity, for stiff matter or radiation. These correspond to the long or short wavelength modes…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Jose P. Mimoso , David Wands

We investigate the dynamics of an homogenous distribution of galaxies moving under the cosmological expansion through Euler-Poisson equations system. The solutions are interpreted with the aim of understanding the cosmic velocity fields in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Henri-Hugues Fliche , Jean-Marie Souriau , Roland Triay

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
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