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Related papers: Scalar Fields and the FLRW Singularity

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In this work we shall investigate the occurrence of future cosmological finite-time singularities in the dynamical system corresponding to two cosmological theories, namely that of vacuum $f(R)$ gravity and that of three fluids. The vacuum…

General Relativity and Quantum Cosmology · Physics 2018-08-01 S. D. Odintsov , V. K. Oikonomou

We investigate the cosmological dynamics of a homogeneous scalar field non-minimally coupled to torsion gravity, which also interacts with cold dark matter through energy and momentum transfer. The matter and radiation perfect fluids are…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Carlos Rodriguez-Benites , Manuel Gonzalez-Espinoza , Giovanni Otalora , Manuel Alva-Morales

A mechanical system is presented exhibiting a non-deterministic singularity, that is, a point in an otherwise deterministic system where forward time trajectories become non-unique. A Coulomb friction force applies linear and angular forces…

Dynamical Systems · Mathematics 2015-06-18 Robert Szalai , Mike R. Jeffrey

This paper considers some physically interesting cosmological dynamical systems in the FRW-scalarfield category which are examined for integrability according to the criterion of Painlev\'e. In the literature these systems have been…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Leach , Spiros Cotsakis , John Miritzis

We study flat Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) models with a perfect fluid matter source and a scalar field minimally coupled to matter with power-law-exponential \textquotedblleft hybrid\textquotedblright potential. Using…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Koralia Tzanni , John Miritzis

In this article, we examine the possibility that there exist special scalar-tensor theories of gravity with completely nonsingular FRW solutions. Our investigation in fact shows that while most probes living in such a Universe never see the…

High Energy Physics - Theory · Physics 2009-09-15 Nemanja Kaloper , Keith A. Olive

This paper explores the cosmological implications of a scalar field with a specific potential, crucial for achieving the final equilibrium state of gravitational collapse. We consider a system with two fluids: minimally coupled matter…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Koushiki , Dipanjan Dey , Pankaj S. Joshi

We consider a minimally coupled scalar field with a monomial potential and a perfect fluid in flat FLRW cosmology. We apply local and global dynamical systems techniques to a new three-dimensional dynamical systems reformulation of the…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Artur Alho , Juliette Hell , Claes Uggla

We show that non-linear dynamics of a scalar field {\phi} may be described as a mod- ification of the spacetime geometry. Thus, the self-interaction is interpreted as a coupling of the scalar field with an effective gravitational metric…

General Relativity and Quantum Cosmology · Physics 2013-06-07 E. Goulart , M. Novello , F. T. Falciano , J. D. Toniato

Observations suggest, that there may be periods in the history of the universe, including the present one, in which its evolution is driven by scalar fields. This paper is concerned with the solution of the evolution equations for a…

General Relativity and Quantum Cosmology · Physics 2013-01-16 J. W. van Holten

We consider the possibility of energy being exchanged between the scalar and matter fields in scalar-tensor theories of gravity. Such an exchange provides a new mechanism which can drive variations in the gravitational 'constant' G. We find…

General Relativity and Quantum Cosmology · Physics 2009-01-14 T. Clifton , John D. Barrow

We investigate the cosmological perturbations around FLRW solutions to non- linear massive gravity with a new effective coupling to matter proposed recently. Unlike the case with minimal matter coupling, all five degrees of freedom in the…

High Energy Physics - Theory · Physics 2015-06-23 A. Emir Gümrükçüoğlu , Lavinia Heisenberg , Shinji Mukohyama

We examine the dynamics of FLRW cosmologies in which the vacuum interacts with a perfect fluid through an energy exchange, focusing on the exploration of nonsingular configurations, including cyclic and bouncing models. We consider two…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Marco Bruni , Rodrigo Maier , David Wands

Self-similar, spherically symmetric cosmological models with a perfect fluid and a scalar field with an exponential potential are investigated. New variables are defined which lead to a compact state space, and dynamical systems methods are…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alan Coley , Martin Goliath

From a variational action with non-minimal coupling with a scalar field and classical scalar and fermionic interaction, cosmological field equations can be obtained. Imposing a FLRW metric the equations lead directly to a cosmological model…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Samuel Lepe , Javier Lorca , Francisco Peña , Yerko Vásquez

In this publication we investigate dynamics of a flat FRW cosmological model with a non-minimally coupled scalar field with the coupling term $\xi R \psi^{2}$ in the scalar field action. The quadratic potential function $V(\psi)\propto…

High Energy Physics - Theory · Physics 2009-05-06 Orest Hrycyna , Marek Szydlowski

The behavior of a massive scalar particle on the spacetime surrounding a monopole is studied from a quantum mechanical point of view. All the boundary conditions necessary to turn into self-adjoint the spatial portion of the wave operator…

General Relativity and Quantum Cosmology · Physics 2010-04-21 João Paulo M. Pitelli , Patricio S. Letelier

We construct cosmological spacetimes with a self-dual Weyl tensor whose dynamics are described by conformally coupled scalars with only cubic self-interactions. Similar to the previously discovered cases in flat and (Anti) de Sitter…

High Energy Physics - Theory · Physics 2024-07-19 Mariana Carrillo González , Arthur Lipstein , Silvia Nagy

We study the relational cosmological dynamics emerging from interacting group field theory (GFT) models minimally coupled to a massless clock scalar field and a self-interacting scalar field. We focus on two broad classes of GFT…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Tom R. Ladstätter , Luca Marchetti

We develop a technique relating scalar fields with different masses in different conformally flat space-times. We apply this technique to the case of FRW space-times, with $k=\pm 1,0$, and discuss several examples. We also study various…

General Relativity and Quantum Cosmology · Physics 2019-10-08 Swayamsidha Mishra , Sudipta Mukherji , Yogesh K. Srivastava