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Linearised gravity has a global symmetry under which the graviton is shifted by a symmetric tensor satisfying a certain flatness condition. There is also a dual symmetry that can be associated with a global shift symmetry of the dual…

High Energy Physics - Theory · Physics 2025-02-26 Chris Hull , Maxwell L Hutt , Ulf Lindström

We consider the extension of the general-linear and special-linear algebras by employing the Maxwell symmetry in $D$ space-time dimensions. We show how various Maxwell extensions of the ordinary space-time algebras can be obtained by a…

High Energy Physics - Theory · Physics 2023-03-03 Salih Kibaroğlu , Oktay Cebecioğlu , Ahmet Saban

We investigate the dynamics of a family of functional extensions of the (Eddington-inspired) Born-Infeld gravity theory, constructed with the inverse of the metric and the Ricci tensor. We provide a generic formal solution for the…

High Energy Physics - Theory · Physics 2014-08-06 Sergei D. Odintsov , Gonzalo J. Olmo , D. Rubiera-Garcia

We find a geometrical description from a field theoretical setup based on Wilson's renormalization group in real space. We show that renormalization group equations of coupling parameters encode the metric structure of an emergent curved…

High Energy Physics - Theory · Physics 2016-06-29 Ki-Seok Kim , Chanyong Park

One obtains a Maxwell-like structure of gravitation by applying the weak-field approximation to the well accepted theory of general relativity or by extending Newton's laws to time-dependent systems. This splits gravity in two parts, namely…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Tajmar , C. J. de Matos

We reformulate the self-dual Einstein equation as a trio of differential form equations for simple two-forms. Using them, we can quickly show the equivalence of the theory and 2D sigma models valued in an infinite-dimensional group, which…

High Energy Physics - Theory · Physics 2009-10-28 Tatsuya Ueno

We construct a gauge theory based in the supergroup $G=SU(2,2|2)$ that generalizes MacDowell-Mansouri supergravity. This is done introducing an extended notion of Hodge operator in the form of an outer automorphism of $su(2,2|2)$-valued…

High Energy Physics - Theory · Physics 2021-08-12 Pedro D. Alvarez , Lucas Delage , Mauricio Valenzuela , Jorge Zanelli

Starting from a topological gauge theory in two dimensions with symmetry groups $ISO(2,1)$, $SO(2,1)$ and $SO(1,2)$ we construct a model for gravity with non-trivial coupling to matter. We discuss the equations of motion which are connected…

High Energy Physics - Theory · Physics 2009-10-22 L. F. Cugliandolo , F. A. Schaposnik , H. Vucetich

We consider noncommutative gravity on a space with canonical noncommutativity that is based on the commutative MacDowell-Mansouri action. Gravity is treated as gauge theory of the noncommutative $SO(1,3)_\star$ group and the Seiberg-Witten…

High Energy Physics - Theory · Physics 2015-06-05 Marija Dimitrijevic , Voja Radovanovic , Hrvoje Stefancic

We introduce a new Lie bialgebra structure for the anti de Sitter (AdS) Lie algebra in (2+1)-dimensional spacetime. By gauging the resulting \textit{AdS Lie bialgebra}, we write a Chern-Simons gauge theory of bi-gravity involving two…

High Energy Physics - Theory · Physics 2018-08-28 S. Hoseinzadeh , A. Rezaei-Aghdam

A self-consistent extended Einstein-Maxwell model for relativistic non-stationary polarizable-magnetizable anisotropic media is presented. Based on the analogy with relativistic extended irreversible (transient) thermodynamics, the extended…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. B. Balakin

The aim of this paper is to discuss a kinematical algebraic structure of a theory of gravity, that would be unitary, renormalizable and coupled in the same manner to both spinorial and tensorial matter fields. An analysis of the common…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dj. Sijacki

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

We give a self-contained introduction into the metric-affine gauge theory of gravity. Starting from the equivalence of reference frames, the prototype of a gauge theory is presented and illustrated by the example of Yang-Mills theory. Along…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Frank Gronwald

Results ranging from Ashtekar variables to the perturbative Bern-Carrasco-Johansson (BCJ) double copy suggest a deep relation between Yang-Mills theory and Einstein gravity. I examine this relation by writing down the tetradic Palatini…

General Relativity and Quantum Cosmology · Physics 2021-10-05 Vojtěch Witzany

In this paper, we have studied bi-gravity theory in a very specific limit where we focused only on one degree of freedom generated by the massive graviton. We have analyzed the model in the context of cosmology and demonstrated that the…

General Relativity and Quantum Cosmology · Physics 2020-07-14 Radouane Gannouji , Md. Wali Hossain , Nur Jaman , M. Sami

We discuss some of the consequences of changing the matter to gravity coupling without affecting the gravitational dynamics. The Einstein tensor is usually assumed to be proportional to the stress tensor due to the divergence free property…

General Relativity and Quantum Cosmology · Physics 2013-01-15 T. Delsate , J. Steinhoff

We study slow-roll inflation as a common feature in Metric-affine Theories of Gravity. In particular, we take into account extended metric, teleparallel and symmetric-teleparallel theories of gravity, based on different geometric…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Salvatore Capozziello , Mehdi Shokri

We consider the Einstein-Cartan theory with the tetrad $e_{\mu}^{a}$ and spin connection $\omega_{\mu ab}$ taken as being independent fields. Diffeomorphism invariance and local Lorentz invariance result in there being two distinct gauge…

High Energy Physics - Theory · Physics 2025-06-05 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

The vectorial holographic correspondences between higher-spin theories in AdS$_5$ and free vector models on the boundary are extended to the cases where the latter is described by free massless spin-$j$ field. The dual higher-spin theory in…

High Energy Physics - Theory · Physics 2017-02-01 Jin-Beom Bae , Euihun Joung , Shailesh Lal
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