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We use a method of linearization to study the emergence of the future cosmological singularity characterized by finite value of the cosmological radius. We uncover such singularities that keep Hubble parameter finite while making all higher…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-01 A. V. Yurov

We consider a procedure of elimination of cosmological singularities similar to that suggested in the recent paper by Simpson and Visser for the construction of regular black holes. It is shown that by imposing a non-singular cosmological…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Leonardo Chataignier , Alexander Yu. Kamenshchik , Alessandro Tronconi , Giovanni Venturi

It is argued that the initial cosmological singularity is isotropic in spatially inhomogeneous brane-world models. This implies that brane cosmology may naturally give rise to a set of initial data that provide the conditions for inflation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alan Coley

The homogeneous and isotropic radiation dominated universe, following the inflationary stage, is expressed as a spherically symmetric and inhomogeneous spacetime upon a power law type conformal transformation of the null (cosmological)…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Sujoy K. Modak

We present a class of graviton-dilaton models which leads to a singularity free evolution of the universe. We study the evolution of a homogeneous isotropic universe. We follow an approach which enables us to analyse the evolution and…

High Energy Physics - Theory · Physics 2011-09-09 S. Kalyana Rama

A theory of gravitation is constructed in which all homogeneous and isotropic solutions are nonsingular, and in which all curvature invariants are bounded. All solutions for which curvature invariants approach their limiting values approach…

General Relativity and Quantum Cosmology · Physics 2009-10-22 R. Brandenberger , V. Mukhanov , A. Sornborger

Multidimensional cosmological models with $n (n > 1)$ spaces of constant curvature are discussed classically and with respect to canonical quantization. These models are integrable in the case of Ricci flat internal spaces. For positive…

General Relativity and Quantum Cosmology · Physics 2009-09-25 U. Bleyer , A. Zhuk

We investigate the cosmology of a class of model with noncanonical scalar field and matter both in FRW closed and open background. Writing the Einstein Equations in terms of dimensionless dynamical variables suitable for studying bouncing…

General Relativity and Quantum Cosmology · Physics 2015-01-12 Manabendra Sharma

Interest in cosmological singularities has remarkably grown in recent times, particularly on future singularities with the discovery of late-time acceleration of the universe and dark energy. While such explorations have previously been…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Oem Trivedi , Maxim Khlopov

We investigate the robustness of some recent results obtained for homogeneous and isotropic cosmological models with conformally coupled scalar fields. For this purpose, we investigate anisotropic homogeneous solutions of the models…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Raul Abramo , Leon Brenig , Edgard Gunzig , Alberto Saa

We briefly review the problem of generating cosmological flows of matter in GR (the genesis of universes), analyze models' shortcomings and their basic assumptions yet to be justified in physical cosmology. We propose a paradigm of…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-14 V. N. Lukash , V. N. Strokov

We study cosmological models described by a single real scalar field. We work within the first-order framework, and we show how the first-order equations simplify the investigation, leading to a direct search of twinlike theories. The…

High Energy Physics - Theory · Physics 2012-03-22 D. Bazeia , J. D. Dantas

New classes of classically integrable models in the cosmological theories with a scalar field are obtained by using freedoms of defining time and fields. In particular, some models with the sum of exponential potentials in the flat spatial…

General Relativity and Quantum Cosmology · Physics 2009-10-28 H. Suzuki , E. Takasugi , Y. Takayama

We consider cosmological models driven by several canonical or noncanonical scalar fields. We show how the superpotential method enables one to construct twinlike models for a particular canonical model from some noncanonical ones. We…

High Energy Physics - Theory · Physics 2018-05-22 Yuan Zhong , Chun-E Fu , Yu-Xiao Liu

We build an exact inhomogeneous universe composed of a central flat Friedmann zone up to a small redshift $z_1$, a thick shell made of anisotropic matter, an hyperbolic Friedmann metric up to the scale where dimming galaxies are observed…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-17 Stefano Viaggiu

In this work we analyze the viability of use a particular models of scalar fields in the context of the galactic dark matter problem. These models are based on a single scalar field, minimally coupled to the gravity in a asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose A. Gonzalez , Daniel Sudarsky

We present a simple, exact and self-consistent cosmology with a phenomenological model of quantum creation of radiation due to decay of the scalar field. The decay drives a non-isentropic inflationary epoch, which exits smoothly to the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Alexei Nesteruk

A model for the Universe is proposed whose constituents are: (a) a dark energy field modeled by a fermionic field non-minimally coupled with the gravitational field, (b) a matter field which consists of pressureless baryonic and dark matter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. O. Ribas , F. P. Devecchi , G. M. Kremer

The initial singularity problem in standard general relativity is treated on the light of a viewpoint asserting that this formulation of Einstein's theory and its conformal formulations are physically equivalent. We show that flat…

General Relativity and Quantum Cosmology · Physics 2012-10-30 Israel Quiros

In an earlier paper of the authors it was shown that the sheaf theoretically based recently developed abstract differential geometry of the first author can in an easy and natural manner incorporate singularities on arbitrary closed nowhere…

Differential Geometry · Mathematics 2007-05-23 A. Mallios , E. E. Rosinger
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