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We describe a general constitutive framework for a teleparallel extension of the general theory of relativity. This approach goes beyond the teleparallel equivalent of general relativity (TEGR) by broadening the analogy with the…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Javad Tabatabaei , Shant Baghram , Bahram Mashhoon

Violations of spacetime symmetries have recently been identified as promising signatures for physics underlying the Standard Model. The present talk gives an overview over various topics in this field: The motivations for spacetime-symmetry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ralf Lehnert

Delta Gravity is a gravitational model based on an extension of General Relativity given by a new symmetry called $\tilde{\delta}$. In this model, new matter fields are added to the original matter fields, motivated by the additional…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-01 Jorge Alfaro , Marco San Martín , Carlos Rubio

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 investigate the geometrodynamical effects of introducing the boundary term in symmetric teleparallel gravity. Specifically, we consider a homogeneous and isotropic universe in $f\left( Q, B \right) $, where $Q$ is the non-metricity…

General Relativity and Quantum Cosmology · Physics 2023-09-27 Andronikos Paliathanasis

The Hamiltonian formulation of the teleparallel equivalent of general relativity (TEGR) is developed from an ordinary second-order Lagrangian, which is written as a quadratic form of the coefficients of anholonomy of the orthonormal frames…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Rafael Ferraro , María José Guzmán

We construct the Effective Field Theory (EFT) of the teleparallel equivalent of general relativity (TEGR). Firstly, we present the necessary field redefinitions of the scalar field and the tetrads. Then we provide all the terms at…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Maria Mylova , Jackson Levi Said , Emmanuel N. Saridakis

We analyze the relation between teleparallelism and local Lorentz invariance. We show that generic modifications of the teleparallel equivalent to general relativity will not respect local Lorentz symmetry. We clarify the reasons for this…

General Relativity and Quantum Cosmology · Physics 2011-05-25 Thomas P. Sotiriou , Baojiu Li , John D. Barrow

The Bumblebee Model of spontaneous Lorentz symmetry breaking is explored in a cosmological context, considering a single non-zero time component for the vector field. The relevant dynamic equations for the evolution of the Universe are…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Diogo Capelo , Jorge Páramos

In a recent paper we have analyzed the Spinor Theory of Gravity (STG) which is based on the intimate relation between Fermi (weak) interaction and gravity. We presented the hypothesis that the effect of matter upon the metric that…

General Relativity and Quantum Cosmology · Physics 2020-07-08 M. Novello , A. E. S. Hartmann

Within the framework of scalar-non-metricity gravity, we introduce a steep potential together with a power-law coupling function and investigate whether the acceleration phases of the universe can be consistently described by this model. In…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Ghulam Murtaza , Avik De , Andronikos Paliathanasis

According to the teleparallel equivalent of general relativity, curvature and torsion are two equivalent ways of describing the same gravitational field. Despite equivalent, however, they act differently: whereas curvature yields a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. I. Arcos , V. C. de Andrade , J. G. Pereira

Horndeski gravity is the most general scalar-tensor theory with one scalar field leading to second-order Euler-Lagrange field equations for the metric and scalar field, and it is based on Riemannian geometry. In this paper, we formulate an…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Sebastian Bahamonde , Georg Trenkler , Leonardo G. Trombetta , Masahide Yamaguchi

Born-Infeld deformation strategy to smooth theories having divergent solutions is applied to the teleparallel equivalent of General Relativity. The equivalence between teleparallelism and General Relativity is exploited to obtain a deformed…

General Relativity and Quantum Cosmology · Physics 2009-05-20 Franco Fiorini , Rafael Ferraro

We present a physically plausible solution representing Einstein's cluster mimicking the behaviors of compact star in the context of teleparallel equivalent of general relativity. The Teleparallel gravity (TEGR) is an alternative…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Ksh. Newton Singh , Farook Rahaman , Ayan Banerjee

General Teleparallel theories assume that curvature is vanishing in which case gravity can be solely represented by torsion and/or nonmetricity. Using differential form language, we express the Riemannian Gauss-Bonnet invariant concisely in…

General Relativity and Quantum Cosmology · Physics 2023-11-13 Juan Manuel Armaleo , Sebastian Bahamonde , Georg Trenkler , Leonardo G. Trombetta

In this communication, we consider a wide class of extensions to General Relativity that break explicitly the Einstein Equivalence Principle by introducing a multiplicative coupling between a scalar field and the electromagnetic Lagrangian.…

General Relativity and Quantum Cosmology · Physics 2015-05-06 A. Hees , O. Minazzoli , J. Larena

We consider f(Q) extended symmetric teleparallel cosmologies, where Q is the non-metricity scalar, and constrain its functional form through the order reduction method. By using this technique, we are able to reduce and integrate the field…

General Relativity and Quantum Cosmology · Physics 2020-12-03 Francesco Bajardi , Daniele Vernieri , Salvatore Capozziello

A gravity theory called scalar-tensor-vector gravity (STVG) has been recently developed and succeeded in solar system, astrophysical and cosmological scales without dark matter [J. W. Moffat, J. Cosmol. Astropart. Phys. 03, 004 (2006)].…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Xue-Mei Deng , Yi Xie , Tian-Yi Huang

In cosmology, long-wavelength modes are related to large-gauge transformations (LGT), i.e. changes of coordinates that modify the physical geometry of the cosmological patch. These LGTs stand as bona-fide symmetries of cosmological…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Jibril Ben Achour , Etera Livine , Vincent Vennin