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We propose a model of gravity in which a General Relativity metric tensor and an effective metric generated from a single scalar formulated in Geometric Scalar Gravity are mixed. We show that the model yields the exact Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Nahomi Kan , Takuya Maki , Kiyoshi Shiraishi

We study fluctuation modes in ten-dimensional Yang-Mills theory with a higher derivative term for the gauge field. We consider the ten-dimensional space-time to be a product of a four-dimensional space-time and six-dimensional sphere which…

High Energy Physics - Theory · Physics 2010-05-12 Pravabati Chingangbam , Hironobu Kihara , Muneto Nitta

Continuous dual symmetry in electrodynamics, Yang-Mills theory and gravitation is investigated. Dual invariant which leads to badly nonlinear motion equations is chosen as a Lagrangian of the pure classical dual nonlinear electrodynamics.…

High Energy Physics - Theory · Physics 2007-05-23 A. L. Koshkarov

We study the Weyl vector fields which can play an important role in quantum gravity. The metric obtains its dynamical content after dynamical symmetry breaking in the phase of the effective Einstein gravity which is induced by quantum Weyl…

General Relativity and Quantum Cosmology · Physics 2010-09-28 B. S. Park , D. G. Pak

The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. This effect is equivalent to replacing ordinary products in the effective theory by the deformed…

High Energy Physics - Theory · Physics 2009-10-31 Ali H. Chamseddine

We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Karthik H. Shankar , Anand Balaraman , Kameshwar C. Wali

Dipole charge conservation forces isolated charges to be immobile fractons. These couple naturally to spatial two-index symmetric tensor gauge fields that resemble a spatial metric. We propose a spacetime Lorentz covariant version of dipole…

High Energy Physics - Theory · Physics 2024-03-12 Evangelos Afxonidis , Alessio Caddeo , Carlos Hoyos , Daniele Musso

We investigate static cylindrical solutions within an extended theory of modified gravity. By incorporating various coupling functions through a straightforward boost symmetry approach, we establish the equations of motion in a…

General Relativity and Quantum Cosmology · Physics 2024-07-31 Davood Momeni , Phongpichit Channuie , Mudhahir Al-Ajmi

It is shown that the $SU(2)$ Yang-Mills theory in $3$-dimensional Riemann-Cartan space-time can be completely reformulated as a gravity-like theory in terms of gauge invariant variables. The resulting Yang-Mills induced equations are found,…

High Energy Physics - Theory · Physics 2016-08-16 V. Radovanović , Dj. Šijački

We present a method for parametrizing linear cosmological perturbations of theories of gravity, around homogeneous and isotropic backgrounds. The method is sufficiently general and systematic that it can be applied to theories with any…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Macarena Lagos , Tessa Baker , Pedro G. Ferreira , Johannes Noller

Recently, a new class of modified gravity theories formulated via an additional scalar and vector field on top of the standard tensor field has been proposed. The direct implications of these theories are expected to be relevant for…

General Relativity and Quantum Cosmology · Physics 2018-09-11 Phongpichit Channuie , Davood Momeni

We present a Lorentz gauge theory of gravity in which the metric is not dynamical. Spherically symmetric weak field solutions are studied. We show that this solution contains the Schwarzschild spacetime at least to the first order of…

General Relativity and Quantum Cosmology · Physics 2016-10-27 Ahmad Borzou

For the Yang-Mills-type gauge-field theory with Lorentz symmetry group, we propose and verify an explicit expression for the conserved currents in terms of the energy-momentum tensor. A crucial ingredient is the assumption that the gauge…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Hans Christian Öttinger

A basic problem of classical field theory, which has attracted growing attention over the past decade, is to find and classify all nonlinear deformations of linear abelian gauge theories. The first part of this paper summarizes and…

Mathematical Physics · Physics 2015-06-26 Stephen C. Anco

General relativity can be cast as a gauge theory by introducing a tetrad field and a spin-connection. This formalism was extended by replacing the tetrad field with a mixed tensor field independent of the metric tensor in order to develop a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. F. Ferrari

It has been known for some time that General Relativity can be regarded as a Yang-Mills-type gauge theory in a symmetry broken phase. In this picture the gravity sector is described by an $SO(1,4)$ or $SO(2,3)$ gauge field…

General Relativity and Quantum Cosmology · Physics 2015-06-12 H. F. Westman , T. G. Zlosnik

The approach of metric-affine gravity initially distinguishes it from Einstein's general relativity. Using an independent affine connection produces a theory with 10+64 unknowns. We write down the Yang-Mills action for the affine connection…

General Relativity and Quantum Cosmology · Physics 2015-09-28 Vedad Pasic , Elvis Barakovic

The dynamics of the torsion field is analyzed in the framework of the Covariant Canonical Gauge Theory of Gravity (CCGG), a De~Donder-Weyl Hamiltonian formulation of gauge gravity. The action is quadratic in both, the torsion and the…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Vladimir Denk , David Vasak , Johannes Kirsch

The multidimensional gravity on the total space of principal bundle is considered. In this theory the gauge fields arise as nondiagonal components of multidimensional metric. The spherically symmetric and cosmology solutions for gravity on…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. D. Dzhunushaliev

We introduce a self-dual field strength which replaces the gauge field in spontaneously broken Yang-Mills theory, reformulating it as a Lorentz covariant non-linear sigma model. This dualized theory is in both a unitary and renormalizable…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers , Warren Siegel