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In this work we take into consideration a generalization of Gauge Theories based on the analysis of the structural characteristics of Maxwell theory, which can be considered as the prototype of such kind of theories (Maxwell-like). Such…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Germano Resconi , Ignazio Licata , Christian Corda

The Newtonian limit of Newton-Cartan gravity relies crucially on the Lie-algebraic central extension to the Galilean algebra, namely the Bargmann algebra. Lie-algebraic central extensions naturally generalise to $L_\infty$-algebraic central…

High Energy Physics - Theory · Physics 2026-05-19 Hyungrok Kim

Consistency of $GL(3,R)$ gauge theory of gravity coupled with an external electromagnetic field, is studied. It is shown that possible restrictions on Maxwell field can be avoided through introduction of auxiliary fields.

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

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

We argue that all Einstein-Maxwell or Einstein-Proca solutions to general relativity may be used to construct a large class of solutions (involving torsion and non-metricity) to theories of non-Riemannian gravitation that have been recently…

General Relativity and Quantum Cosmology · Physics 2010-04-06 T Dereli , M Önder , J Schray , R W Tucker , C Wang

We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic…

High Energy Physics - Theory · Physics 2020-06-23 Joaquim Gomis , Axel Kleinschmidt , Jakob Palmkvist

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…

High Energy Physics - Theory · Physics 2019-07-16 G. Manolakos , P. Manousselis , G. Zoupanos

In the pursuit of a general formulation for a modified gravitational theory at the non-relativistic level and as an alternative to the dark matter hypothesis, we construct a model valid over a wide variety of astrophysical scales. Through…

Astrophysics of Galaxies · Physics 2011-12-13 S. Mendoza , X. Hernandez , J. C. Hidalgo , T. Bernal

This article extends bimetric formulations of massive gravity to make the mass of the graviton to depend on its environment. This minimal extension offers a novel way to reconcile massive gravity with local tests of general relativity…

High Energy Physics - Theory · Physics 2018-02-06 Antonio De Felice , Shinji Mukohyama , Jean-Philippe Uzan

When 4-dimensional general relativity is extended by a 3-dimensional gravitational Chern-Simons term an apparent violation of diffeormorphism invariance is extinguished by the dynamical equations of motion for the modified theory. The…

General Relativity and Quantum Cosmology · Physics 2017-08-23 R. Jackiw

The commonly-known Chern-Simons extension of Einstein gravitational theory is written in terms of a square-curvature term added to the linear-curvature Hilbert Lagrangian. In a recent paper, we constructed two Chern-Simons extensions…

General Physics · Physics 2021-03-16 Luca Fabbri

We discuss a class of alternative gravity theories that are specific to four dimensions, do not introduce new degrees of freedom, and come with a physical motivation. In particular we sketch their Hamiltonian formulation, and their relation…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Ingemar Bengtsson

The linearized equations of `New Massive Gravity' propagate a parity doublet of massive spin-2 modes in 3D Minkowski spacetime, but a different non-linear extension is made possible by `third-way' consistency. There is a `Chern-Simons-like'…

High Energy Physics - Theory · Physics 2018-10-01 Mehmet Özkan , Yi Pang , Paul K. Townsend

In this work we provide the motivation for considering non-Riemannian models in cosmology. Non-Riemannian extensions of general relativity theory have been studied for a long time. In such theories the spacetime continuum is no longer…

Astrophysics · Physics 2009-04-03 Dirk Puetzfeld

In this paper we analyze the asymptotic symmetries of the three-dimensional Chern-Simons supergravity for a supersymmetric extension of the semi-simple enlargement of the Poincar\'e algebra, also known as AdS-Lorentz superalgebra, which is…

High Energy Physics - Theory · Physics 2023-10-26 Javier Matulich , Evelyn Rodríguez

We present a model of supersymmetric non-Abelian Chern-Simons theories in three-dimensions with arbitrarily many supersymmetries, called alephnull-extended supersymmetry. The number of supersymmetry N equals the dimensionality of any…

High Energy Physics - Theory · Physics 2009-11-10 Hitoshi Nishino , Subhash Rajpoot

Endomorphisms algebras can replace the concept of principal fiber bundle. Gauge theories are reformulated within this algebraic framework and further generalized to unify ordinary connections and Higgs fields. A 'noncommutative Maxwell'…

Mathematical Physics · Physics 2007-05-23 Emmanuel Serie

In three dimensions, there exist modifications of Einstein's gravity akin to the topologically massive gravity that describe massive gravitons about maximally symmetric backgrounds. These theories are built on the three-dimensional version…

High Energy Physics - Theory · Physics 2018-11-20 Gokhan Alkac , Mustafa Tek , Bayram Tekin

This paper presents a relativistic version of Newtonian Fractional-Dimension Gravity (NFDG), an alternative gravitational model recently introduced and based on the theory of fractional-dimension spaces. This extended version - Relativistic…

General Relativity and Quantum Cosmology · Physics 2021-10-26 Gabriele U. Varieschi

In this paper, we study the three-dimensional noncommutative Maxwell-Chern-Simons theory. In the present analysis, a complete account for the gauge field two-point function renormalizability is presented and physical significant quantities…

High Energy Physics - Theory · Physics 2016-04-27 M. Ghasemkhani , R. Bufalo
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