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Teleparallel gravity, a gauge theory for the translation group, turns up as fully equivalent to Einstein's general relativity. In spite of this equivalence, it provides a whole new insight into gravitation. It breaks several paradigms…

广义相对论与量子宇宙学 · 物理学 2015-06-15 J. G. Pereira

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…

广义相对论与量子宇宙学 · 物理学 2020-01-24 Ulbossyn Ualikhanova , Manuel Hohmann

We investigate modified theories of gravity in the context of teleparallel geometries. It is well known that modified gravity models based on the torsion scalar are not invariant under local Lorentz transformations while modifications based…

广义相对论与量子宇宙学 · 物理学 2015-11-30 Sebastian Bahamonde , Christian G. Boehmer , Matthew Wright

Linearised gravity has a global symmetry under which the graviton is shifted by a symmetric tensor satisfying a certain flatness condition. There is also a dual symmetry that can be associated with a global shift symmetry of the dual…

高能物理 - 理论 · 物理学 2025-02-26 Chris Hull , Maxwell L Hutt , Ulf Lindström

We investigate the f(R) theory of gravity with broken diffeomorphism due to the change of the coefficient in front of the total divergence term in the (3+1)-decomposition of the scalar curvature. We perform the canonical analysis of this…

广义相对论与量子宇宙学 · 物理学 2016-05-18 M. Chaichian , A. Ghalee , J. Kluson

The status of the equivalence principle in modified symmetric teleparallel gravity is examined. In this theory, minimum length geodesics are distinct from autoparallel geodesics, that is, the ``shortest'' paths are not the ``straightest''…

广义相对论与量子宇宙学 · 物理学 2024-12-23 Nivaldo A. Lemos

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…

广义相对论与量子宇宙学 · 物理学 2023-11-13 Juan Manuel Armaleo , Sebastian Bahamonde , Georg Trenkler , Leonardo G. Trombetta

We derive the most general homogeneous and isotropic teleparallel geometries, defined by a metric and a flat, affine connection. We find that there are five branches of connection solutions, which are connected via several limits, and can…

广义相对论与量子宇宙学 · 物理学 2023-04-25 Lavinia Heisenberg , Manuel Hohmann , Simon Kuhn

We consider static and spherically symmetric wormhole solutions in extended metric-affine theories of gravity supposing that stability and traversability of these objects can be achieved by means of the geometric degrees of freedom. In…

广义相对论与量子宇宙学 · 物理学 2023-11-17 Vittorio De Falco , Salvatore Capozziello

General relativity has two fundamental problems that render it unsuitable for tackling the gravitational field's quantization. The first problem is the lack of a genuine gravitational variable representing gravitation only, inertial forces…

广义相对论与量子宇宙学 · 物理学 2020-12-17 J. G. Pereira , D. F. López

In a recent paper [1], it was introduced a new class of gravitational theories with two local degrees of freedom. The existence of these theories apparently challenges the distinctive role of general relativity as the unique non-linear…

广义相对论与量子宇宙学 · 物理学 2018-10-30 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati

We write down the teleparallel equivalent to Hassan-Rosen bigravity, which is written using a torsionful but curvature-free connection. The theories only differ by a boundary term. The equivalence was proven, both by using perturbation…

广义相对论与量子宇宙学 · 物理学 2023-12-13 Daniel Blixt , Manuel Hohmann , Tomi Koivisto , Luca Marzola

Modified gravity has attracted much attention over the last few years and remains a potential candidate for dark energy. In particular, the so-called viable f(R) gravity theories, which are able to both recover General Relativity (GR) and…

广义相对论与量子宇宙学 · 物理学 2016-04-20 Alvaro de la Cruz-Dombriz , Peter K. S. Dunsby , Sulona Kandhai , Diego Saez-Gomez

The introduction of General Relativity (GR) in 1915 revolutionized our understanding of gravity, but over time, its limitations in explaining phenomena like dark energy, dark matter, and quantum gravity have motivated alternative theories.…

广义相对论与量子宇宙学 · 物理学 2025-07-08 N. S. Kavya

We examine whether the Teleparallel Equivalent of General Relativity (TEGR) can be formulated as a gauge theory in the language of connections on principal bundles. We argue in favor of using either the affine bundle with the Poincar\'e…

广义相对论与量子宇宙学 · 物理学 2026-05-19 Sebastian Brezina , Eugenia Boffo , Martin Krššák

Four-dimensional asymptotically flat spacetimes have been central to recent developments in infrared physics. Gravitational waves reaching the asymptotic boundary reveal an infinite-dimensional symmetry group known as the…

广义相对论与量子宇宙学 · 物理学 2025-12-19 Florian Girelli , Jianhui Qiu , Céline Zwikel

The teleparallel formulation of gravity theories reveals close structural analogies to electrodynamics, which are more hidden in their usual formulation in terms of the curvature of spacetime. We show how every locally Lorentz invariant…

广义相对论与量子宇宙学 · 物理学 2018-06-05 Manuel Hohmann , Laur Järv , Martin Krššák , Christian Pfeifer

We present a class of cosmological solutions for a generalized teleparallel gravity with, $f(T)=T+\tilde{\alpha}(-T)^n$, where $\tilde{\alpha}$ is some parameter and $n$ is an integer or half-integer. Choosing $\tilde{\alpha} \sim G^{n-1}$,…

广义相对论与量子宇宙学 · 物理学 2017-03-08 Adel Awad , Gamal Nashed

We describe how to reconstruct generalized scalar-tensor gravity (GSTG) theory, which admits exact solutions for physical type of the potentials. Our consideration deals with cosmological inflationary models based on GSTG with non-minimal…

广义相对论与量子宇宙学 · 物理学 2020-05-20 I. V. Fomin , S. V. Chervon , A. V. Tsyganov

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…

广义相对论与量子宇宙学 · 物理学 2015-06-12 M. Novello , E. Bittencourt , U. Moschella , E. Goulart , J. M. Salim , J. Toniato