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The so-called Geometric Trinity of Gravity includes General Relativity (GR), based on spacetime curvature; the Teleparallel Equivalent of GR (TEGR), which relies on spacetime torsion; and the Symmetric Teleparallel Equivalent of GR (STEGR),…

广义相对论与量子宇宙学 · 物理学 2025-09-04 Christian Mancini , Guglielmo Maria Tino , Salvatore Capozziello

The geometric trinity of gravity comprises three distinct formulations of general relativity: (i) the standard formulation describing gravity in terms of spacetime curvature, (ii) the teleparallel equivalent of general relativity describing…

广义相对论与量子宇宙学 · 物理学 2024-10-22 William J. Wolf , James Read , Quentin Vigneron

In recent years, it has been rather fashionable to talk about geometric trinity of gravity. The main idea is that one can formally present the gravity equations in different terms, those of either torsion or nonmetricity instead of…

广义相对论与量子宇宙学 · 物理学 2024-11-28 Alexey Golovnev

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

General relativity (GR) as described in terms of curvature by the Einstein-Hilbert action is dynamically equivalent to theories of gravity formulated in terms of spacetime torsion or non-metricity. This forms what is called the geometrical…

高能物理 - 理论 · 物理学 2024-09-05 Johanna Erdmenger , Bastian Heß , Ioannis Matthaiakakis , René Meyer

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

We discuss equivalent representations of gravity in the framework of metric-affine geometries pointing out basic concepts from where these theories stem out. In particular, we take into account tetrads and spin connection to describe the so…

广义相对论与量子宇宙学 · 物理学 2022-12-06 Salvatore Capozziello , Vittorio De Falco , Carmen Ferrara

The geometrical nature of gravity emerges from the universality dictated by the equivalence principle. In the usual formulation of General Relativity, the geometrisation of the gravitational interaction is performed in terms of the…

高能物理 - 理论 · 物理学 2019-03-19 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi S. Koivisto

We investigate Extended Geometric Trinity of Gravity at both classical and quantum cosmological levels using the minisuperspace approach. Adopting Noether symmetries to select viable models, we examine metric-affine theories of gravity, in…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Emmanuele Battista , Salvatore Capozziello , Stefano Pastore

Already in the 1970s there where attempts to present a set of ground rules, sometimes referred to as a theory of gravitation theories, which theories of gravity should satisfy in order to be considered viable in principle and, therefore,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thomas P Sotiriou , Valerio Faraoni , Stefano Liberati

Symmetries play important roles in modern theories of physical laws. In this paper, we review several experimental tests of important symmetries associated with the gravitational interaction, including the universality of free fall for…

广义相对论与量子宇宙学 · 物理学 2016-07-26 Lijing Shao , Norbert Wex

Symmetric teleparallel gravity (STG) is an alternative description of the gravitational field as an effect of the nonmetricity rather than the curvature of the spacetime. For an specific choice of the symmetric teleparallel lagrangian, the…

广义相对论与量子宇宙学 · 物理学 2022-12-15 J. E. G. Silva

We provide a brief overview into recent tests of gravity, focusing on its foundational spacetime symmetries. In particular, we work with an agnostic, effective field-theory framework, named the Standard-Model Extension, that allows for…

广义相对论与量子宇宙学 · 物理学 2023-05-24 Kellie O'Neal-Ault

The Gravitation Astrometric Measurement Experiment (GAME) is a mission concept based on astronomical techniques (astrometry and coronagraphy) for Fundamental Physics measurements, namely the \gamma\ and \beta\ parameters of the Parametrized…

天体物理仪器与方法 · 物理学 2012-05-25 Mario Gai , Alberto Vecchiato , Sebastiano Ligori , Alessandro Sozzetti , Mario G. Lattanzi

We establish the theories of Symmetric Teleparallel Equivalent to General Relativity (STEGR) in the internal-space and investigate possible internal-space symmetries among primary constraint densities in the theories. First of all, we…

广义相对论与量子宇宙学 · 物理学 2025-05-26 Kyosuke Tomonari

We revisit Coincident General Relativity (CGR) in the gauge approach to gravity based on Symmetric Teleparallel Equivalent to General Relativity (STEGR) in the {\it internal-space formulation}, which one of the authors recently proposed in…

广义相对论与量子宇宙学 · 物理学 2025-09-22 Kyosuke Tomonari , Taishi Katsuragawa , Shin'ichi Nojiri

Guided by the Einstein equivalence principle that identifies the phenomenon of gravitation as a manifestation of the dynamics of spacetime in contrast to a localizable force, we review and explore its consequences on formulating a theory of…

广义相对论与量子宇宙学 · 物理学 2025-06-02 Jann Zosso

Gravity theory is the basis of modern cosmological models. Thirring-Feynman's tensor field approach to gravitation is an alternative to General Relativity (GR). Though Field Gravity (FG) approach is still developing subject, it opens new…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Yurij Baryshev

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories which include…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Thomas P. Sotiriou , Valerio Faraoni

We study the energy-momentum characteristics of the plane ``+''-polarised gravitational wave solution of general relativity in the Teleparallel Equivalent of General Relativity (TEGR) and the Symmetric Teleparallel Equivalent of General…

广义相对论与量子宇宙学 · 物理学 2024-03-15 E. Emtsova , A. N. Petrov , A. V. Toporensky
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