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Teleparallel gravity theories employ a tetrad and a Lorentz spin connection as independent variables in their covariant formulation. In order to solve their field equations, it is helpful to search for solutions which exhibit certain…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Manuel Hohmann , Laur Järv , Martin Krššák , Christian Pfeifer

We extend the class of recently formulated scalar-nonmetricity theories by coupling a five-parameter nonmetricity scalar to a scalar field and considering a mixed kinetic term between the metric and the scalar field. The symmetric…

General Relativity and Quantum Cosmology · Physics 2018-10-23 Mihkel Rünkla , Ott Vilson

We consider the cosmology of a brane-world scenario in the framework of teleparallel and $f(T)$ gravity in a way that matter is localized on the brane. We show that the cosmology of such branes is different from the standard cosmology in…

General Relativity and Quantum Cosmology · Physics 2015-04-02 K. Atazadeh , A. Eghbali

An oscillating, homogeneous and isotropic Universe which arises from Scalar-Tensor gravity is discussed in the linearized approach, showing that some observative evidences like the Hubble Law and the Cosmological Redshift are in agreement…

Astrophysics · Physics 2010-01-24 Christian Corda

We propose the simplest model of teleparallel dark energy with purely a non-minimal coupling to gravity but no self-potential, a single model possessing various interesting features: simplicity, self-potential-free, the guaranteed late-time…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Je-An Gu , Chung-Chi Lee , Chao-Qiang Geng

The cosmological models based on teleparallel gravity with nonzero torsion are considered. To investigate the evolution of this theory, we consider the phase-space analysis of the $f(T)$ theory. It shows when the tension scalar can be…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Yi Zhang , Hui Li , Yungui Gong , Zong-Hong Zhu

Modified teleparallel gravity theory with the torsion scalar have recently gained a lot of attention as a possible explanation of dark energy. We perform a thorough reconstruction analysis on the so-called $F(T)$ models, where $F(T)$ is…

General Physics · Physics 2012-11-13 Ratbay Myrzakulov

We consider the teleparallel equivalent of Lovelock gravity and its natural extension, where the action is given by an arbitrary function $f(T_{_{L_1}}, T_{_{L_2}},\cdot \cdot \cdot , T_{_{L_n}})$ of the torsion invariants $T_{_{L_i}}$,…

General Relativity and Quantum Cosmology · Physics 2019-07-31 P. A. González , Samuel Reyes , Yerko Vásquez

We consider cosmological models based on the scalar-torsion gravity implying non-minimal coupling between torsion and the scalar field with certain relations between model's parameters. Based on observational constraints on the values of…

General Relativity and Quantum Cosmology · Physics 2024-11-14 I. V. Fomin , S. V. Chervon , E. S. Dentsel

The present acceleration of the Universe strongly indicated by recent observational data can be modeled in the scope of a scalar-tensor theory of gravity. We show that it is possible to determine the structure of this theory (the scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Boisseau , G. Esposito-Farese , D. Polarski , A. A. Starobinsky

In theories such as teleparallel gravity and its extensions, the frame basis replaces the metric tensor as the primary object of study. A choice of coordinate system, frame basis and spin-connection must be made to obtain a solution from…

General Relativity and Quantum Cosmology · Physics 2024-02-28 A. A. Coley , R. J. van den Hoogen , D. D. McNutt

In Einstein's General Relativity (GR), the gravitational interactions are described by the spacetime curvature. Recently, other alternative geometric formulations and representations of GR have emerged in which the gravitational…

General Relativity and Quantum Cosmology · Physics 2023-08-16 A. Hanin , M. Koussour , Z. Sakhi , M. Bennai

We present a geometric scalar theory of gravity. Our proposal will be described using the "background field method" introduced by Gupta, Feynman and others as a field theory formulation of general relativity. We analyze previous criticisms…

General Relativity and Quantum Cosmology · Physics 2015-06-12 M. Novello , E. Bittencourt , U. Moschella , E. Goulart , J. M. Salim , J. Toniato

We present a framework for nonlinearly coupled scalar-tensor theory of gravity to address both inflation and core-collapse supernova problems. The unified approach is based on a novel dynamical trapping and relaxation of scalar gravity in…

General Relativity and Quantum Cosmology · Physics 2013-09-16 C. H. -T. Wang , A. O. Hodson , A. St J. Murphy , T. B. Davies , J. T. Mendonca , R. Bingham

Teleparallel theory of gravity and its modifications have been studied extensively in literature. However, gravitational waves has not been studied enough in the framework of teleparallelism. In the present study, we discuss gravitational…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Habib Abedi , Salvatore Capozziello

We consider late-time cosmology in a (phantom) scalar-tensor theory with an exponential potential, as a dark energy model with equation of state parameter close to -1 (a bit above or below this value). Scalar (and also other kinds of)…

High Energy Physics - Theory · Physics 2009-09-17 Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov

In this work we present a model of dark matter based on scalar-tensor theory of gravity. With this scalar field dark matter model we study the non-linear evolution of the large scale structures in the universe. The equations that govern the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Mario A. Rodriguez-Meza

The gravity is classically formulated as the geometric curvature of the space-time in general relativity which is completely different from the other well-known physical forces. Since seeking a quantum framework for the gravity is a great…

High Energy Physics - Theory · Physics 2014-09-29 Cao H. Nam

A class of theories of gravitation that naturally incorporates preferred frames of reference is presented. The underlying space-time geometry consists of a partial parallelization of space-time and has properties of Riemann-Cartan as well…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Kohler

We introduce a new class of two dimensional gravity models using ideas motivated by the Teleparallel Equivalent of General Relativity. This leads to a rather natural formulation of a theory that has close links with Jackiw-Teitelboim…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Christian G. Boehmer , Rafael Ferraro , Franco Fiorini