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Related papers: Reviving Horndeski Theory using Teleparallel Gravi…

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A 2D symmetric teleparallel gravity model is given by a generic 4-parameter action that is quadratic in the non-metricity tensor. Variational field equations are derived. A class of conformally flat solutions is given. We also discuss…

High Energy Physics - Theory · Physics 2008-11-26 M. Adak , T. Dereli

Teleparallel gravity offers a new avenue in which to construct gravitational models beyond general relativity. While teleparallel gravity can be framed in a way to be dynamically equivalent to general relativity, its modifications are…

General Relativity and Quantum Cosmology · Physics 2021-01-28 Sebastian Bahamonde , Viktor Gakis , Stella Kiorpelidi , Tomi Koivisto , Jackson Levi Said , Emmanuel N. Saridakis

In this note we collect, systemise and generalise the existing results for relations between general Horndeski theories and beyond Horndeski theories via disformal transformations of metric. We derive additional disformal transformation…

High Energy Physics - Theory · Physics 2022-06-29 S. Mironov , V. Volkova

We generalize to reduced Horndeski theories of gravity, where gravitational waves (GWs) travel at the speed of light, the expression of a statistically homogeneous and unpolarized stochastic gravitational wave background (SGWB) signal…

General Relativity and Quantum Cosmology · Physics 2022-12-01 João C. Lobato , Isabela S. Matos , Maurício O. Calvão , Ioav Waga

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

In this work we shall introduce a theoretical framework comprised by a non-minimal coupled canonical scalar field, a non-minimal coupling to the Gauss-Bonnet invariant and a non-minimal kinetic coupling. This theoretical framework is…

General Relativity and Quantum Cosmology · Physics 2021-09-15 V. K. Oikonomou , F. P. Fronimos

In this article we explore local Lorentz transformations in theories of gravity based on the teleparallel formalism. For the teleparallel equivalent of general relativity (TEGR), the spin connection plays no role in the equations of motion,…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Alexey Golovnev , Maria-Jose Guzman

Scalar-tensor theories have shown promise in many sectors of cosmology. However, recent constraints from the speed of gravitational waves have put severe limits on the breadth of models such classes of theories can realize. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Fabiano F. Santos , Jackson Levi Said

In this paper we show that an equivalence between Horndeski and beyond Horndeski theories and general relativity with an effective imperfect fluid can be formally established. The formal equivalence is discussed for several particular cases…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Israel Quiros , Ulises Nucamendi , Roberto De Arcia , Tame Gonzalez , Francisco Antonio Horta-Rangel

We show that the $H_0$ tension can be alleviated in the framework of Horndeski/generalized galileon gravity. In particular, since the terms depending on $G_5$ control the friction in the Friedmann equation, we construct specific sub-classes…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Maria Petronikolou , Spyros Basilakos , Emmanuel N. Saridakis

In this study, we investigate the thermodynamic properties of shift symmetric Horndeski and beyond Horndeski theories (theories in which only derivatives of the scalar field appear in the action). Utilizing Euclidean methods, we first…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Athanasios Bakopoulos , Thanasis Karakasis

We derive the post-Newtonian limit of a general class of teleparallel gravity theories, whose action is given by a free function of three scalar quantities obtained from the torsion of the teleparallel connection. This class of theories is…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Ulbossyn Ualikhanova , Manuel Hohmann

The superstring and superbrane theories which include gravity as a necessary and fundamental part renew an interest to alternative representations of general relativity as well as the alternative models of gravity. We study the coframe…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yakov Itin

We discuss modified teleparallel gravity with function $f(T,T_G)$ in the action, where function depend on two arguments: torsion scalar $T$ and analogue of Gauss-Bonnet invariant $T_G$. In contradistinction to usual teleparallel gravity…

General Relativity and Quantum Cosmology · Physics 2016-05-02 Petr V. Tretyakov

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

We constrain the viable models of Horndeski gravity, written in its equivalent Generalised Galileon version, by resorting to the Witten positive energy theorem. We find that the free function $G_3(\phi, X)$ in the Lagrangian is constrained…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Cláudio Gomes , Orfeu Bertolami

The Horndeski scalar-tensor theory and its recent extensions allow nonlinear derivative interactions of the scalar degree of freedom. We study the matter bispectrum of large scale structure as a probe of these modified gravity theories,…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-30 Shin'ichi Hirano , Tsutomu Kobayashi , Hiroyuki Tashiro , Shuichiro Yokoyama

Linear cosmological perturbations of a large class of modified gravity and dark energy models can be unified in the effective field theory of cosmic acceleration, encompassing Horndeski scalar-tensor theories and beyond. The fully available…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-25 Lucas Lombriser , Andy Taylor

Recently, it was formulated a teleparallel theory called $f(T,B)$ gravity which connects both $f(T)$ and $f(R)$ under suitable limits. In this theory, the function in the action is assumed to depend on the torsion scalar $T$ and also on a…

General Relativity and Quantum Cosmology · Physics 2017-12-19 Sebastian Bahamonde , M. Zubair , G. Abbas

In this paper, we will analyse a theory of modified gravity, in which the field content of general relativity will be increased to include a vector field. We will use the Horndeski formalism to non-minimally couple this vector field to the…

General Physics · Physics 2017-01-24 Davood Momeni , Mir Faizal , Kairat Myrzakulov , Ratbay Myrzakulov