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The paper deals with a non--minimally coupled scalar field in the background of homogeneous but anisotropic Kantowski--Sachs space--time model. The form of the coupling function of the scalar field with gravity and the potential function of…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Sourav Dutta , Muthusamy Lakshmanan , Subenoy Chakraborty

We consider a polymer quantization of a free massless scalar field in a homogeneous and isotropic cosmological spacetime. This quantization method assumes that field translations are fundamentally discrete, and is related to but distinct…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-27 Golam Mortuza Hossain , Viqar Husain , Sanjeev S. Seahra

The correspondence of single-field cosmological models based on Einstein gravity to modern observational data is considered. A method is proposed to determine possible types of dynamics based on extreme values of the scalar field. It is…

General Relativity and Quantum Cosmology · Physics 2025-10-10 I. V. Fomin

We analyze if Bianchi I, V, and IX models in the Induced Gravity (IG) theory can evolve to a Friedmann--Roberson--Walker (FRW) expansion due to the non--minimal coupling of gravity and the scalar field. The analytical results that we found…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. L. Cervantes-Cota , P. Ag. Chauvet

We study a model of a scalar field minimally coupled to gravity, with a specific potential energy for the scalar field, and include curvature and radiation as two additional parameters. Our goal is to obtain analytically the complete set of…

High Energy Physics - Theory · Physics 2013-05-30 Itzhak Bars , Shih-Hung Chen , Paul J. Steinhardt , Neil Turok

In this paper it is studied the cosmology of a homogeneous and isotropic spacetime endorsed with a conformally coupled massless scalar field. We find six different solutions of the Friedmann equation that represent six different types of…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Salvador J. Robles-Perez

We explore a novel cosmological model based on coupled fields in the framework of scalar tensor theories, considering the specific interplay between gravity and scalar fields. The model further extends a recent axion-dilaton system by…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Mihai Marciu

We discuss the weak-field limit of induced gravity and show that results directly depend on the coupling and self-interaction potential of the scalar field. A static spherically symmetric exact solution is found and its conformal properties…

Astrophysics · Physics 2007-05-23 S. Calchi Novati , S. Capozziello , G. Lambiase

We consider $f\left(R\right) $-gravity in a Friedmann-Lema\^itre-Robertson-Walker spacetime with zero spatial curvature. We apply the Killing tensors of the minisuperspace in order to specify the functional form of $f\left(R\right) $ and…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Andronikos Paliathanasis

We study black holes in a modified gravity scenario involving a scalar field quadratically coupled to the Gauss-Bonnet invariant. The scalar is assumed to be in a spontaneously broken phase at spatial infinity due to a bare Higgs-like…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Eugeny Babichev , William T. Emond , Sabir Ramazanov

We study the evolution of a self interacting scalar field in Einstein-Gauss-Bonnet theory in four dimension where the scalar field couples non minimally with the Gauss-Bonnet term. Considering a polynomial coupling of the scalar field with…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Soumya Chakrabarti

We study inflation induced by (power-low) scalar curvature corrections to General Relativity. The class of inflationary scalar potentials $V(\sigma)\sim\exp[n\,\sigma]$, $n$ general parameter, is investigated in the Einsein frame and the…

General Relativity and Quantum Cosmology · Physics 2014-09-22 L. Sebastiani , G. Cognola , R. Myrzakulov , S. D. Odintsov , S. Zerbini

We describe a broad class of multi-field inflationary models with spontaneously broken conformal invariance. It generalizes the recently discovered class of cosmological attractors with a single inflaton field. In the new multi-field…

High Energy Physics - Theory · Physics 2015-06-17 Renata Kallosh , Andrei Linde

We propose a topological model of induced gravity (pregeometry) where both Newton's coupling constant and the cosmological constant appear as integration constants in solving field equations. The matter sector of a scalar field is also…

General Relativity and Quantum Cosmology · Physics 2017-02-15 Ichiro Oda

Einstein gravity minimally coupled to a scalar field with a two-parameter Higgs-like self-interaction in three spacetime dimensions is recast in terms of a Chern-Simons form for the algebra $g^{+}\oplus g^{-}$ where, depending on the sign…

High Energy Physics - Theory · Physics 2023-02-22 Marcela Cárdenas , Oscar Fuentealba , Cristián Martínez , Ricardo Troncoso

The question whether the integrable one-field cosmologies classified in a previous paper by Fre, Sagnotti and Sorin can be embedded as consistent one-field truncations into Extended Gauged Supergravity or in N=1 supergravity gauged by a…

High Energy Physics - Theory · Physics 2015-06-17 P. Fre , A. S. Sorin , M. Trigiante

The cosmological solutions of the non-minimal $ Y (R)F^2 $ theory which are compatible with FRW space-time are investigated. In order to avoid the isotropy violation of a vector field, it can be considered that the presence of a triplet of…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Özcan Sert

Here, we report pp waves configurations of three-dimensional gravity for which a scalar field nonminimally coupled to them acts as a source. In absence of self-interaction the solutions are gravitational plane waves with a profile fixed in…

High Energy Physics - Theory · Physics 2016-08-16 Eloy Ayón-Beato , Mokhtar Hassaïne

We present a new model of gravity which explicitly breaks Lorentz-invariance by the introduction of a unit time-like vector field, thereby giving rise to an extra (scalar) degree of freedom. We discuss its cosmology, exact solutions and the…

General Relativity and Quantum Cosmology · Physics 2013-01-18 Flavio S. Coelho , Carlos Herdeiro , Shinji Hirano , Yuki Sato

The singularity structure of cosmological models whose matter content consists of a scalar field with arbitrary non-negative potential is discussed. The special case of spatially flat FRW space-time is analysed in detail using a dynamical…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Foster