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In this work we propose a new analytical method for determining the scalar field potential $V(\phi)$ in FRW type cosmologies containing a mixture of perfect fluid plus a quintessence scalar field. By assuming that the equation of state…

General Relativity and Quantum Cosmology · Physics 2008-06-23 J. A. Espichán Carrillo , J. M. Silva , J. A. S. Lima

The possibility to avoid the cosmic initial singularity as a consequence of nonlinear effects on the Maxwell eletromagnetic theory is discussed. For a flat FRW geometry we derive the general nonsingular solution supported by a magnetic…

Astrophysics · Physics 2009-11-10 C. S. Camara , M. R. de Garcia Maia , J. C. Carvalho , J. A. S. Lima

Choosing the three phenomenological models of the dynamical cosmological term $\Lambda$, viz., $\Lambda \sim (\dot a/a)^2$, $\Lambda \sim {\ddot a/a}$ and $\Lambda \sim \rho$ where $a$ is the cosmic scale factor, it has been shown by the…

General Relativity and Quantum Cosmology · Physics 2009-09-28 Saibal Ray , P. C. Ray , Partha Pratim Ghosh , Utpal Mukhopadhyay , Partha Chowdhury

We study the Scalar Field Cosmology (SFC) using the geometric language of the phase space. We define and study an ensemble of dynamical systems as a Banach space with a Sobolev metric. The metric in the ensemble is used to measure a…

General Relativity and Quantum Cosmology · Physics 2014-02-24 Marek Szydlowski , Orest Hrycyna , Aleksander Stachowski

A mathematical model of the Universe evolution, based on asymmetric doublet of classical and phantom dcalar Higgs fields with a kinetic connection between the components, has been constructed and studied. A detailed qualitative analysis was…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Yu. G. Ignat'ev , I. A. Kokh

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 identify a new class of time periodic attractor solutions in scalar field cosmology, which we term Cosmological Frequency Combs (CFC). These solutions arise in exponential quintessence models with a phantom matter background and exhibit…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-03 Oem Trivedi , Madhurendra Mishra , Adarsh Ganesan

Using canonical quantization of a flat FRW cosmological model containing a real scalar field $\phi$ endowed with a scalar potential $V(\phi)$, we are able to obtain exact and semiclassical solutions of the so called Wheeler-DeWitt equation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 W. Guzman , M. Sabido , J. Socorro , L. Arturo Urena-Lopez

We give a general method to find exact cosmological solutions for scalar-field dark energy in the presence of perfect fluids. We use the existence of invariant transformations for the Wheeler De Witt (WdW) equation. We show that the…

General Relativity and Quantum Cosmology · Physics 2015-10-02 Andronikos Paliathanasis , Michael Tsamparlis , Spyros Basilakos , John D. Barrow

We consider a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker background space with an ideal gas and a multifield Lagrangian consisting of two minimally coupled scalar fields which evolve in a field space of constant curvature.…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Alex Giacomini , Esteban González , Genly Leon , Andronikos Paliathanasis

Considering the Friedmann--Lema\^{i}tre--Robertson--Walker (FLRW) metric and the Einstein scalar field system as an underlying gravitational model to construct fractional cosmological models has interesting implications in both classical…

General Relativity and Quantum Cosmology · Physics 2024-07-26 S. M. M. Rasouli , S. Cheraghchi , P. V. Moniz

We perform a detailed study of the phase-space of the field equations of an Einstein-Gauss-Bonnet scalar field cosmology for a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker spacetime. For the scalar field potential, we consider…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Alfredo D. Millano , Genly Leon , Andronikos Paliathanasis

This paper explores cosmological scenarios in a scalar-tensor theory of gravity, including both a non-minimal coupling with scalar curvature of the form $R\phi^2$ and a non-minimal derivative coupling of the form…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Ravil R. Fatykhov , Sergey V. Sushkov

We investigate the evolution of a spatially flat Friedmann-Robertson-Walker (FRW) universe in the framework of scalar non-metricity theory of gravity. In the model, we consider dark matter (DM) and dark energy (DE) described by the scalar…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Bikash Chandra Roy , Bikash Chandra Paul

In Friedman-Robertson-Walker flat spacetime, we consider a three fluid cosmological model which contains dark matter, dark energy and baryonic matter in the form of perfect fluid with a barotropic equation of state. Dark matter is taken in…

General Relativity and Quantum Cosmology · Physics 2015-12-23 Nilanjana Mahata , Subenoy Chakraborty

We find the general behaviour of homogeneous and isotropic cosmological models in some fourth-order theories of gravity. Explicit, exact, general solutions are given for both empty universes and those filled with a perfect fluid. For the…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Timothy Clifton

In this study, we present the phase-space analysis of Quintessence models specified by the choice of two potentials, namely the Recliner potential and what we call the broken exponential-law potential, which is a new proposal. Using a…

General Relativity and Quantum Cosmology · Physics 2022-04-14 Francesco Pace , Noemi Frusciante

Friedmann-Robertson-Walker cosmological models with a massive scalar field are studied in the presence of hydrodynamical matter in the form of a perfect fluid. The ratio of the number of solutions without inflation to the total number of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Toporensky

In this article, we investigate a coupled phantom dark-energy cosmological model in which the coupling term between a phantom scalar field with an exponential potential and a pressureless dark-matter fluid is motivated by the warm…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Sudip Halder , Supriya Pan , Paulo M. Sá , Tapan Saha

The late time evolution of Friedmann-Robertson-Walker (FRW) models with a perfect fluid matter source is studied in the conformal frame of $f(R) $ gravity. We assume that the corresponding scalar field, nonminimally coupled to matter, has…

General Relativity and Quantum Cosmology · Physics 2014-11-20 John Miritzis , Roberto Giambò
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