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The solutions of $U(1)$ gauge-gravity coupling is one of the interesting models for analyzing the semi-classical nature of spacetime. In this regard, different well-known singular and nonsingular solutions have been taken into account. The…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Seyed Hossein Hendi , Behzad Eslam Panah , Shahram Panahiyan , Mehrab Momennia

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 perform a Kaluza-Klein inspired rewriting of double field theory by splitting the coordinates into `compact' and `non-compact' directions. There is no truncation of the compact coordinates or their duals, and so this formulation is…

High Energy Physics - Theory · Physics 2013-10-30 Olaf Hohm , Henning Samtleben

A globally consistent treatment of linearized gravity in the Randall-Sundrum background with matter on the brane is formulated. Using a novel gauge, in which the transverse components of the metric are non-vanishing, the brane is kept…

High Energy Physics - Theory · Physics 2008-11-26 I. Ya. Aref'eva , M. G. Ivanov , W. Mueck , K. S. Viswanathan , I. V. Volovich

Unimodular gravity can be formulated so that transverse diffeomorphisms and Weyl transformations are symmetries of the theory. For this formulation of unimodular gravity, we work out the two-point and three-point $h_{\mu\nu}$ contributions…

High Energy Physics - Theory · Physics 2023-02-15 Jesus Anero , Carmelo P. Martin

We review nonlinear gauge theory and its application to two-dimensional gravity. We construct a gauge theory based on nonlinear Lie algebras, which is an extension of the usual gauge theory based on Lie algebras. It is a new approach to…

High Energy Physics - Theory · Physics 2009-10-22 Noriaki Ikeda

We find a class of electrically charged exact solutions for a toy model of metric-affine gravity. Their metric is of the Pleba\'nski-Demia\'nski type and their nonmetricity and torsion are represented by a triplet of covectors with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Friedrich W. Hehl , José Socorro

The procedure to find gauge invariant variables for two-parameter nonlinear perturbations in general relativity is considered. For each order metric perturbation, we define the variable which is defined by the appropriate combination with…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kouji Nakamura

Linearized gravity in the Very Special Relativity (VSR) framework is considered. We prove that this theory allows for a non-zero graviton mass $m_g$ without breaking gauge invariance nor modifying the relativistic dispersion relation. We…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Jorge Alfaro , Alessandro Santoni

I consider the sense in which teleparallel gravity and symmetric teleparallel gravity may be understood as gauge theories of gravity. I first argue that both theories have surplus structure. I then consider the relationship between…

History and Philosophy of Physics · Physics 2025-04-09 James Owen Weatherall

Gauge fields in exotic representations of the Lorentz group in D dimensions - i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows and columns - naturally arise through massive string…

High Energy Physics - Theory · Physics 2009-11-07 P. de Medeiros , C. Hull

Kaluza's mertic with the cylinder condition is considered without the weak gravitational field approximation. It is shown that these hypoteses lead to a non-gauge-invariant electromagnetic theory in a curved space-time. The problem of…

General Relativity and Quantum Cosmology · Physics 2009-05-18 Luca Fabbri

The number and the location of monopoles in Lattice configurations depend on the choice of the gauge, in contrast to the obvious requirement that monopoles, as physical objects, have a gauge-invariant status. It is proved, starting from…

High Energy Physics - Lattice · Physics 2011-02-01 Adriano Di Giacomo

We present a theory of modified gravity, inspired by the gauge theories, where the commutator algebra of covariant derivative gives us an added term with respect to the General Relativity, which represents the interaction of gravity with a…

General Relativity and Quantum Cosmology · Physics 2012-01-05 M. Hamani Daouda , Manuel E. Rodrigues , M. J. S. Houndjo

A basis of Lorentz and gauge-invariant monomials in non--Abelian gauge theories with matter is described, applicable for the inverse mass expansion of effective actions. An algorithm to convert an arbitrarily given invariant expression into…

High Energy Physics - Theory · Physics 2008-02-03 Uwe Müller

Above Planck energies, the spacetime might become non--Riemannian, as it is known fron string theory and inflation. Then geometries arise in which nonmetricity and torsion appear as field strengths, side by side with curvature. By gauging…

General Relativity and Quantum Cosmology · Physics 2016-08-15 José Socorro , Claus Lämmerzahl , Alfredo Macías , Eckehard W. Mielke

We explicitly establish the equivalence between the magnetic Carrollian limit of Einstein gravity defined through the Hamiltonian formalism and the Carrollian theory of gravity defined through a gauging of the Carroll algebra along the…

High Energy Physics - Theory · Physics 2022-09-28 Andrea Campoleoni , Marc Henneaux , Simon Pekar , Alfredo Pérez , Patricio Salgado-Rebolledo

It is discussed the singular string associated to the gauge field of monopoles must be a physical observable if the monopole charge is different from zero. It is naturally found that if the gauge is to be an observable, it is possibly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dario Sassi Thober

It is argued that in magnetoelectrics with diagonal magnetoelectric coupling there should be a monopole-like distribution of magnetization around electric charge. It may lead to nontrivial transport properties of such materials, to…

Strongly Correlated Electrons · Physics 2015-09-15 D. I. Khomskii

Modeling the propagation of gravitational waves (GWs) through matter is complicated by the gauge freedom of linearized gravity in that once nonlinearities are taken into consideration, gauge artifacts can cause spurious acceleration of the…

General Relativity and Quantum Cosmology · Physics 2024-02-28 Deepen Garg , I. Y. Dodin
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