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Einstein's celebrated theory of gravitation can be presented in three forms: general relativity, teleparallel gravity, and the rarely considered before symmetric teleparallel gravity. Extending the latter, we introduce a new class of…

广义相对论与量子宇宙学 · 物理学 2018-06-12 Laur Järv , Mihkel Rünkla , Margus Saal , Ott Vilson

Generalised Teleparallel gravity, also referred to as f(T) gravity, has been recently proposed as an extended theory of gravitation able to give rise to an accelerated expansion in a matter only universe. The cosmic speed up is driven by an…

宇宙学与河外天体物理 · 物理学 2015-06-04 Vincenzo F. Cardone , Ninfa Radicella , Stefano Camera

We investigate whether late-time modifications of gravity in the teleparallel framework can impact the current tension in the Hubble constant $H_0$, focusing on $f(T)$ cosmology as a minimal and well-controlled extension of General…

广义相对论与量子宇宙学 · 物理学 2026-03-23 Mariam Bouhmadi-López , Carlos G. Boiza , Maria Petronikolou , Emmanuel N. Saridakis

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…

广义相对论与量子宇宙学 · 物理学 2024-04-12 Javad Tabatabaei , Shant Baghram , Bahram Mashhoon

Many parity violating gravity models suffer from the ghost instability problem. In this paper, we consider a symmetric teleparallel gravity model that extends the general relativity equivalent model by several parity violating interactions…

广义相对论与量子宇宙学 · 物理学 2022-08-23 Mingzhe Li , Yeheng Tong , Dehao Zhao

Arbitrary generalization to the teleparallel equivalent of general relativity loses local Lorentz invariance to reparametrize the orthonormal coordinate system and gives rise to asymmetry field equations. We investigate consequences of…

广义相对论与量子宇宙学 · 物理学 2016-11-07 Yi-Peng Wu

Teleparallel gravity theories were proposed as alternatives to the dark energy and modified theories of gravity. However, both the metric and symmetric teleparallel gravity theories have been found to have serious pathologies, such as…

广义相对论与量子宇宙学 · 物理学 2024-07-16 Dalia Saha , Jyoti Prasad Saha , Abhik kumar sanyal

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

We analyze the construction of conformal theories of gravity in the realm of teleparallel theories. We first present a family of conformal theories which are quadratic in the torsion tensor and are constructed out of the tetrad field and of…

广义相对论与量子宇宙学 · 物理学 2012-01-19 J. W. Maluf , F. F. Faria

The Gauss-Bonnet invariant connects foundational aspects of geometry with physical phenomena in a variety of ways. Teleparallel gravity offers a novel direction in which to use the Gauss-Bonnet invariant to go beyond standard cosmology. In…

广义相对论与量子宇宙学 · 物理学 2026-04-21 Shivam Kumar Mishra , Jackson Levi Said , B. Mishra

We study dynamics of generalized tachyon scalar field in the framework of teleparallel gravity. This model is an extension of tachyonic teleparallel dark energy model which has been proposed in [26]. In contrast with tachyonic teleparallel…

广义相对论与量子宇宙学 · 物理学 2014-08-04 Behnaz Fazlpour , Ali Banijamali

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

Over the past decades, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description. Here we review various…

广义相对论与量子宇宙学 · 物理学 2016-09-09 Yi-Fu Cai , Salvatore Capozziello , Mariafelicia De Laurentis , Emmanuel N. Saridakis

We perform a full investigation on dynamics of a new dark energy model in which the four-derivative of a non-canonical scalar field (tachyon) is non-minimally coupled to the vector torsion. Our analysis is done in the framework of…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Behnaz Fazlpour , Ali Banijamali

Teleparallel theories of gravity are described in terms of the tetrad of a metric and a flat connection with torsion. In this paper, we study spherical symmetry in a modified teleparallel theory of gravity which is based on an arbitrary…

广义相对论与量子宇宙学 · 物理学 2021-05-06 Sebastian Bahamonde , Christian Pfeifer

We consider a recently proposed class of extended teleparallel theories of gravity, which entail a scalar field which is non-minimally coupled to the torsion of a flat, metric-compatible connection. This class of scalar-torsion theories of…

广义相对论与量子宇宙学 · 物理学 2020-01-24 Elena D. Emtsova , Manuel Hohmann

General Relativity and its higher derivative extensions have symmetric teleparallel reformulations in terms of the non-metricity tensor within a torsion-free and flat geometry. These notes present a derivation of the exact propagator for…

广义相对论与量子宇宙学 · 物理学 2018-11-07 Aindriú Conroy , Tomi Koivisto

Teleparallel Gravity is a gauge theory where gravity is a manifestation of the torsion of space-time and its success relies on being a possible solution to some problems of General Relativity. In this essay we introduce the construction of…

广义相对论与量子宇宙学 · 物理学 2023-05-12 Geovanny A. Rave-Franco , Celia Escamilla-Rivera

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

This study explores the extension of teleparallel gravity within the framework of general relativity, introducing an algebraic function $f(T)$ dependent on the torsion scalar $T$. Motivated by the teleparallel formulation, we investigate…

宇宙学与河外天体物理 · 物理学 2024-09-30 M. Koussour , A. Altaibayeva , S. Bekov , F. Holmurodov , S. Muminov , J. Rayimbaev