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We review and extend the Gauge Vectors-Tensor gravity: a covariant theory of gravity composed of a metric and gauge fields, leading to simple second order partial differential equations of motion, whose Newtonian and strong limits coincide…

广义相对论与量子宇宙学 · 物理学 2014-06-03 Qasem Exirifard

The equivalence principle postulates a frame. This implies globally special and locally general relativity. It is proposed here that spacetime emerges from the gauge potential of translations, whilst the Lorenz symmetry is gauged into the…

综合物理 · 物理学 2015-11-06 Tomi S. Koivisto

A possible Yang-Mills like lagrangian formulation for gravity is explored. The starting point consists on two next assumptions. First, the metric is assumed as a real map from a given gauge group. Second, a gauge invariant lagrangian…

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

We propose new models of an `affine' theory of gravity in $D$-dimensional space-times with symmetric connections. They are based on ideas of Weyl, Eddington and Einstein and, in particular, on Einstein's proposal to specify the space - time…

高能物理 - 理论 · 物理学 2015-05-18 A. T. Filippov

Any metric theory of gravity whose interaction with quantum particles is described by a covariant wave equation is equivalent to a vector theory that satisfies Maxwell-type equations identically. This result does not depend on any…

广义相对论与量子宇宙学 · 物理学 2014-04-30 Giorgio Papini

The evolution of a generally covariant theory is under-determined. One hundred years ago such dynamics had never before been considered; its ramifications were perplexing, its future important role for all the fundamental interactions under…

广义相对论与量子宇宙学 · 物理学 2016-11-23 James M. Nester , Chiang-Mei Chen

This paper is a comprehensive investigation of the Affine Gauge Theory (AGT) as a gauge theory of gravity having the same mathematical structure as gauge theories of the other fundamental forces of nature. This mathematical structure…

广义相对论与量子宇宙学 · 物理学 2025-10-01 Kurniawan Tjandra , Kuldip Singh

We reconsider a gauge theory of gravity in which the gauge group is the conformal group SO(4,2) and the action is of the Yang-Mills form, quadratic in the curvature. The resulting gravitational theory exhibits local conformal symmetry and…

广义相对论与量子宇宙学 · 物理学 2016-04-07 Jack Gegenberg , Shohreh Rahmati , Sanjeev S. Seahra

Euler's interpretation of Newton's gravity (NG) as Archimedes' thrust in a fluid ether is presented in some detail. Then a semi-heuristic mechanism for gravity, close to Euler's, is recalled and compared with the latter. None of these two…

综合物理 · 物理学 2007-05-23 Mayeul Arminjon

We revisit Weyl's metrication (geometrization) of electromagnetism. We show that by making Weyl's proposed geometric connection be pure imaginary, not only are we able to metricate electromagnetism, an underlying local conformal invariance…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Philip D. Mannheim

We derive a Weyl invariant equation for Gravity by gauging the global Weyl invariance of vacuum Einstein equations. The equation is linear in the curvature and a natural generalization of Einstein equations to Weyl geometry. The system has…

广义相对论与量子宇宙学 · 物理学 2024-12-03 Máximo Bañados

A simple modification to Einstein's theory of gravity in terms of a non-Riemannian connection is examined. A new tensor-variational approach yields field equations that possess a covariance similar to the gauge covariance of…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Robin W Tucker , Charles Wang

We give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

广义相对论与量子宇宙学 · 物理学 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

I consider theories of gravity built not just from the metric and affine connection, but also other (possibly higher rank) symmetric tensor(s). The Lagrangian densities are scalars built from them, and the volume forms are related to…

高能物理 - 理论 · 物理学 2020-04-06 Chethan Krishnan

It is demonstrated that a Stueckelberg-type gauge theory, coupled to the scalar-tensor theory of gravity, is invariant under both gauge and Weyl transformations. Unlike the pure Stueckelberg theory, this coupled Lagrangian has a genuine…

高能物理 - 理论 · 物理学 2016-11-07 Aradhya Shukla , Kumar Abhinav , Prasanta K. Panigrahi

In the report, the theory of unimodular bimode gravity built on principles of unimodular gauge invariance/relativity and general covariance is exposed. Besides the massless tensor graviton of General Relativity, the theory includes an…

广义相对论与量子宇宙学 · 物理学 2020-01-01 Yu. F. Pirogov

Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the type encountered in the topological gauge theories. A peculiar feature of the gravitationel theory is the link of this vector…

高能物理 - 理论 · 物理学 2007-05-23 Olivier Piguet

A discussion is given of the conformal Einstein field equations coupled with matter whose energy-momentum tensor is trace-free. These resulting equations are expressed in terms of a generic Weyl connection. The article shows how in the…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Christian Lübbe , Juan Antonio Valiente Kroon

First, we briefly review the description of gravity theories as gauge theories in three and four dimensions. Specifically, we recall the procedure in which the results of General Relativity in three and four dimensions are recovered in a…

高能物理 - 理论 · 物理学 2019-07-16 G. Manolakos , P. Manousselis , G. Zoupanos

A general principle of non-equivalence for bodies and observers in different G potentials (GP) was derived from correspondence of the Einstein's equivalence principle either with optical physics or with gravitational experiments in which…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Rafael A. Vera