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The quantum field theoretic description of general relativity is a modern approach to gravity where gravitational force is carried by spin-2 gravitons. In the classical limit of this theory, general relativity as described by the Einstein…

High Energy Physics - Theory · Physics 2020-10-20 Gustav Uhre Jakobsen

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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rolando Gaitan

In this paper we introduce the axial gauge field to the framework of the quantum kinetic theory with vector gauge field in the massless limit. Treating axial-gauge field on an equal footing with the vector-gauge field, we construct a…

High Energy Physics - Phenomenology · Physics 2022-02-02 Zhou Chen , Shu Lin

Recently, several extensions of massive vector theory in curved space-time have been proposed in many literatures. In this paper, we consider the most general vector-tensor theories that contain up to two derivatives with respect to metric…

General Relativity and Quantum Cosmology · Physics 2017-04-21 Rampei Kimura , Atsushi Naruko , Daisuke Yoshida

In the standard Einstein's theory the exterior gravitational field of any static and axially symmetric stellar object can be described by means of a single function from which we obtain a metric into a four-dimensional space-time. In this…

General Relativity and Quantum Cosmology · Physics 2024-02-19 J. L. Hernández-Pastora

We generalize our previous theorem for FLRW spacetimes within the framework of generic metric gravity theories. In earlier work, we proved that, in the absence of matter fields, the field equations of any metric gravity theory constructed…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Metin Gürses , Yaghoub Heydarzade

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

High Energy Physics - Theory · Physics 2022-07-22 Nihat Sadik Deger , Henning Samtleben

A Yang-Mills theory linear in the scalar curvature for 2d gravity with symmetry generated by the semidirect product formed with the Lie derivative of the algebra of diffeomorphisms with the two-dimensional Abelian algebra is formulated. As…

High Energy Physics - Theory · Physics 2022-02-02 Sara Abentin , Fernando Ruiz Ruiz

We study the gravitomagnetism in the TeVeS theory. We compute the gravitomagnetic field that a slow-moving mass distribution produces in its Newtonian regime. We report that the consistency between the TeVeS gravitomagnetic field and that…

General Relativity and Quantum Cosmology · Physics 2019-05-28 Qasem Exirifard

We develop a symmetry-based construction of gravity from a phase in which Weyl invariance is spontaneously broken. Using the coset formalism, the dilaton acts as a Stuckelberg field for the gauged scale symmetry, giving the Weyl gauge field…

High Energy Physics - Theory · Physics 2025-10-13 Lucas Fernández Sarmiento , Irvin Martínez Rodríguez

The metric-affine gravity provides a useful framework for analyzing gravitational dynamics since it treats metric tensor and affine connection as fundamentally independent variables. In this work, we show that, a metric-affine gravity…

General Relativity and Quantum Cosmology · Physics 2013-02-05 Canan N. Karahan , Asli Altas , Durmus A. Demir

A class of new nonabelian gauge theories for vector fields on three manifolds is presented. The theories describe a generalization of three-dimensional Yang-Mills theory featuring a novel nonlinear gauge symmetry and field equations for…

Mathematical Physics · Physics 2009-11-07 Stephen C. Anco

A gauge model with SU(2) symmetry is proposed to describe the gravitational interaction of fundamental fermions (leptons and quarks) on a Lorentzian manifold with a tetrad. From the system of Dirac-Yang-Mills equations underlying the…

General Physics · Physics 2025-01-24 Nikolay Marchuk

Generalized Yang-Mills theories are constructed, that can use fields other than vector as gauge fields. Their geometric interpretation is studied. An application to the Glashow-Weinberg-Salam model is briefly review, and some related…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaves

A framework for constructing new kinds of gauge theories is suggested. Essentially it consists in replacing Lie algebras by Lie or Courant algebroids. Besides presenting novel topological theories defined in arbitrary spacetime dimensions,…

High Energy Physics - Theory · Physics 2009-11-10 Thomas Strobl

We describe gauge theories which allow to retrieve a large class of gravitational theories, including, MacDowell-Mansouri gravity and its topological extension to Loop Quantum Gravity via the Pontrjagin characteristic class involving the…

General Relativity and Quantum Cosmology · Physics 2026-01-07 J. Thibaut , S. Lazzarini

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…

General Relativity and Quantum Cosmology · Physics 2016-04-07 Jack Gegenberg , Shohreh Rahmati , Sanjeev S. Seahra

We obtain Yang-Mills $SU(2)\times G$ gauged supergravity in three dimensions from $SU(2)$ group manifold reduction of (1,0) six dimensional supergravity coupled to an anti-symmetric tensor multiplet and gauge vector multiplets in the…

High Energy Physics - Theory · Physics 2012-07-30 Edi Gava , Parinya Karndumri , K. S. Narain

A system of gravity coupled to a 2-form gauge field, a dilaton and Yang-Mills fields in $2n$ dimensions arises from the (2,1) sigma model or string. The field equations imply that the curvature with torsion and Yang-Mills field strength are…

High Energy Physics - Theory · Physics 2009-10-30 M. Abou Zeid , C. M. Hull

The paper considers a set of equations describing the static isotropic gravity field of a macroscopic body within the framework of the theory of gravity with a constraint. A general approximate solution of these equations is obtained. The…

General Relativity and Quantum Cosmology · Physics 2024-02-08 Alexander P. Sobolev , Aleksey Sobolev
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