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A scalar, preferred-frame theory of gravitation is summarized. Space-time is endowed with both a flat metric and a curved, "physical" metric. Motion is governed by a natural extension of Newton's second law, which implies geodesic motion…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Mayeul Arminjon

We study linear cosmological perturbations in the most general teleparallel gravity setting, where gravity is mediated by the torsion and nonmetricity of a flat connection alongside the metric. For a general linear perturbation of this…

广义相对论与量子宇宙学 · 物理学 2023-12-22 Lavinia Heisenberg , Manuel Hohmann

Teleparallel theory of gravity and its modifications have been studied extensively in literature. However, gravitational waves has not been studied enough in the framework of teleparallelism. In the present study, we discuss gravitational…

广义相对论与量子宇宙学 · 物理学 2018-07-04 Habib Abedi , Salvatore Capozziello

In this work we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general first order modification of the general relativistic dispersion…

广义相对论与量子宇宙学 · 物理学 2022-09-01 Dagmar Läänemets , Manuel Hohmann , Christian Pfeifer

We discuss linear perturbations of the most general class of teleparallel spacetimes with cosmological symmetry, and perform a decomposition of these perturbations into irreducible components. We then study their behavior under gauge…

广义相对论与量子宇宙学 · 物理学 2021-01-12 Manuel Hohmann

We derive the gravitational waves for $f\left(T, B\right)$ gravity, an extension of teleparallel gravity containing the torsion scalar $T$ and the boundary term $B$, and demonstrate that it is equivalent to $f(R)$ gravity. Gravitational…

广义相对论与量子宇宙学 · 物理学 2020-03-18 Salvatore Capozziello , Maurizio Capriolo , Loredana Caso

We use observational data from the S2 star orbiting around the Galactic Center to constrain a black hole solution of extended teleparallel gravity models. Subsequently, we construct the shadow images of Sgr A$^{\star}$ black hole. In…

广义相对论与量子宇宙学 · 物理学 2022-11-15 Kimet Jusufi , Salvatore Capozziello , Sebastian Bahamonde , Mubasher Jamil

The gravitational lensing effects in the weak gravitational field by exotic lenses have been investigated intensively to find nonluminous exotic objects. Gravitational lensing based on 1/r^n fall-off metric, as a one-parameter model that…

广义相对论与量子宇宙学 · 物理学 2014-09-25 Naoki Tsukamoto , Takao Kitamura , Koki Nakajima , Hideki Asada

It is well known that one cannot apply a conformal transformation to $f(T)$ gravity to obtain a minimally coupled scalar field model, and thus no Einstein frame exists for $f(T)$ gravity. Furthermore nonminimally coupled "teleparallel dark…

广义相对论与量子宇宙学 · 物理学 2016-05-05 Matthew Wright

The Teleparallel Theory is equivalent to General Relativity, but whereas in the latter gravity has to do with curvature, in the former gravity is described by torsion. As is well known, there is in the literature a host of alternative…

广义相对论与量子宇宙学 · 物理学 2024-01-05 José C. N. de Araujo , Hemily G. M. Fortes

We study trajectories of test particles around a luminous, static, spherically symmetric neutron star, under the combined influence of gravity and radiation. In general relativity, for Schwarzschild spacetime, an equilibrium sphere (the…

广义相对论与量子宇宙学 · 物理学 2024-09-06 Ronaldo S. S. Vieira , Maciek Wielgus

We review the current status of the Lorentz covariance in teleparallel and modified teleparallel theories of gravity, and discuss the controversial features of the different approaches. We also revisit the issue of the remnant Lorentz gauge…

广义相对论与量子宇宙学 · 物理学 2019-07-05 Cecilia Bejarano , Rafael Ferraro , Franco Fiorini , María José Guzmán

In this work, we investigate the construction of spherically symmetric solutions within the framework of modified teleparallel gravity, focusing in particular on $f({\cal T})$ theory, where ${\cal T}$ represents the torsion scalar.…

广义相对论与量子宇宙学 · 物理学 2025-08-08 G. G. L. Nashed , A. Eid

In theories such as teleparallel gravity and its extensions, the frame basis replaces the metric tensor as the primary object of study. A choice of coordinate system, frame basis and spin-connection must be made to obtain a solution from…

广义相对论与量子宇宙学 · 物理学 2024-02-28 A. A. Coley , R. J. van den Hoogen , D. D. McNutt

The simple reflection of a light beam of finite transverse extent from a homogenous interface gives rise to a surprisingly large number of subtle shifts and deflections which can be seen as diffractive corrections to the laws of geometrical…

光学 · 物理学 2012-11-15 Jörg B Götte , Mark R Dennis

This a brief review on $F(T)$ gravity and its relation with k-essence. Modified teleparallel gravity theory with the torsion scalar has recently gained a lot of attention as a possible explanation of dark energy. We perform a thorough…

广义相对论与量子宇宙学 · 物理学 2012-12-11 Ratbay Myrzakulov

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

In this study, we investigate the geodesic structure, gravitational lensing/mirroring phenomena, and scalar perturbations of deformed AdS-Schwarzschild black holes with global monopoles, incorporating both ordinary and phantom…

广义相对论与量子宇宙学 · 物理学 2025-03-18 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı

The images of many distant galaxies are displaced, distorted and often multiplied by the presence of foreground massive galaxies near the line of sight; the foreground galaxies act as gravitational lenses. Commonly, the lens equation, which…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Simonetta Frittelli , Thomas P. Kling , Ezra T. Newman

We analyze the possibility of detecting, with optical methods, particle and photon trajectories predicted by general relativity for a weak spherically-symmetric gravitational field. We discuss the required sensitivities and the possibility…

广义相对论与量子宇宙学 · 物理学 2015-06-25 B. Preziosi , G. M. Tino