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We review the book of Ruben Aldrovandi and Jose Geraldo Pereira about Teleparallel Gravity. Teleparallel Gravity is an alternative to General Relativity to describe the gravitational interaction. The difference between General Relativity…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Rodrigo Francisco dos Santos , Marilton Rafael da Silva Lemes , Luis Gustavo de Almeida

In this paper, we study different Solar System tests in a modified Teleparallel gravity theory based on an arbitrary function $f(T,B)$ which depends on the scalar torsion $T$ and the boundary term $B$. To do this, we first find new…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Sebastian Bahamonde , Jackson Levi Said , M. Zubair

We study symmetric teleparallel (STP) gravity model, in which only spacetime non-metricity is nonzero. First we obtain STP equivalent Einstein-Hilbert Lagrangian and give an approach for a generic solution in terms of only metric tensor.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Adak

Constraints on the required flatness of the scalar potential $V(\phi)$ for a cousin-model to extended inflation are studied. It is shown that, unlike earlier results, Induced-gravity Inflation can lead to successful inflation with a very…

Astrophysics · Physics 2009-10-22 David I. Kaiser

We study the cosmology of a toy modified theory of gravity in which gravity shuts off at short distances, as in the fat graviton scenario of Sundrum. In the weak-field limit, the theory is perturbatively local, ghost-free and unitary,…

High Energy Physics - Theory · Physics 2008-11-26 Justin Khoury

We describe a new BF-type first-order in derivatives Lagrangian for General Relativity. The Lagrangian depends on a connection field as well as a Lie-algebra valued two-form field, with no other fields present. There are two free…

General Relativity and Quantum Cosmology · Physics 2015-03-31 Yannick Herfray , Kirill Krasnov

A new approach to the description of spin-2 particle in flat and curved spacetime is developed on the basis of the teleparallel gravity theory. We show that such an approach is in fact a true and natural framework for the Fierz…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Yu. N. Obukhov , J. G. Pereira

A covariant Hamiltonian formulation generalizing De Donder-Weyl mechanics is constructed with field strengths as velocity fields. Since the teleparallel equivalents to general relativity are quadratic in field strengths, the field-strength…

General Relativity and Quantum Cosmology · Physics 2026-03-31 David Chester , Vipul Pandey

We consider a specific Hamiltonian formulation of the Teleparallel Equivalent of General Relativity, where the canonical variables are expressed by means of differential forms. We show that some ``position'' variables of this formulation…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Andrzej Okolow

In this paper we investigate charged static black holes in 4D for generalized teleparallel models of gravity, based on torsion as the geometric object for describing gravity according to the equivalence principle. As a motivated idea, we…

General Relativity and Quantum Cosmology · Physics 2013-12-02 M. E. Rodrigues , M. J. S. Houndjo , J. Tossa , D. Momeni , R. Myrzakulov

Local Lorentz transformations play an important role in teleparallel gravity theories, in which a tetrad is conventionally employed as a fundamental field variable describing the gravitational field. It is commonly understood that…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Manuel Hohmann

We investigate the inflationary realization in the context of unimodular $F(T)$ gravity, which is based on the $F(T)$ modification of teleparallel gravity, in which one imposes the unimodular condition through the use of Lagrange…

General Relativity and Quantum Cosmology · Physics 2017-06-29 Kazuharu Bamba , Sergei D. Odintsov , Emmanuel N. Saridakis

It is well known that the field equations of teleparallel theory which is equivalent to general relativity (TEGR) completely agree with the field equation of general relativity (GR). However, TEGR has six extra degrees of freedom which…

General Physics · Physics 2016-09-01 Gamal G. L. Nashed , B. Elkhatib

We examine in this paper the possibility of finding exact solutions for Teleparallel Gravity (TG) of the type of spherically symmetric Lema\^\i tre-Tolman-Bondi (LTB) dust models. We apply to the LTB metric, as obtained from the…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Sebastián Nájera , Aram Aguilar , Celia Escamilla-Rivera , Roberto A. Sussman

We classify the metric-affine theories of gravitation, in which the metric and the connections are treated as independent variables, by use of several constraints on the connections. Assuming the Einstein-Hilbert action, we find that the…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Keigo Shimada , Katsuki Aoki , Kei-ichi Maeda

This thesis investigates the characteristics of modified teleparallel gravity models that incorporate a scalar field and a trace of the energy-momentum tensor, with particular attention to their cosmological effects, especially regarding…

General Relativity and Quantum Cosmology · Physics 2025-10-06 L K Duchaniya

In present paper we propose further modification of $f(R,T)$-gravity (where $T$ is trace of energy-momentum tensor) by introducing higher derivatives matter fields. We discuss stability conditions in proposed theory and find restrictions…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Petr V. Tretyakov

Recently the vector inflation has been proposed as the alternative to inflationary models based on scalar bosons and quintessence scalar fields. In the vector inflationary model, the vector field non-minimally couples to gravity. We should,…

General Relativity and Quantum Cosmology · Physics 2012-04-06 Takuya Maki , Yuji Naramoto , Kiyoshi Shiraishi

We study teleparallel gravity in the \emph{original} Kaluza-Klein (KK) scenario. Our calculation of the KK reduction of teleparallel gravity indicates that the 5-dimensional torsion scalar $^{(5)}T$ generates the non-Brans-Dicke type…

General Relativity and Quantum Cosmology · Physics 2014-09-04 Chao-Qiang Geng , Chang Lai , Ling-Wei Luo , Huan-Hsin Tseng

We study the late-time cosmological expansion of a modified teleparallel gravity model of type logarithmic type. This modified gravitational lagrangian yields a cosmological constant term and also power-law corrections to the teleparallel…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Adriel O. Aquino , Euclides G. Silva
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