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Symmetries and conserved charges are investigated for linearised gravity and its dual formulation in terms of the dual graviton field. Conserved charges are constructed for the dual graviton theory as Noether charges associated with…

High Energy Physics - Theory · Physics 2024-02-01 C. M. Hull

Covariant conserved 2-form currents for linearised gravity are constructed by contracting the linearised curvature with conformal Killing-Yano tensors. The corresponding conserved charges were originally introduced by Penrose and have…

High Energy Physics - Theory · Physics 2024-02-01 Chris Hull , Maxwell L. Hutt , Ulf Lindström

The free graviton theory given by linearising Einstein's theory has a dual formulation in terms of a dual graviton field. The dual graviton theory has two gauge invariances giving rise to two conserved charges, while the ADM charges of the…

High Energy Physics - Theory · Physics 2025-08-07 Chris Hull , Ulf Lindström , Maxwell L. Velásquez Cotini Hutt

Dual field theory realisations are given for linearised gravity in terms of gauge fields in exotic representations of the Lorentz group. The field equations and dual representations are discussed for a wide class of higher spin gauge…

High Energy Physics - Theory · Physics 2010-02-03 C. M. Hull

In any generally covariant theory of gravity, we show the relationship between the linearized asymptotically conserved current and its non-linear completion through the identically conserved current. Our formulation for conserved charges is…

High Energy Physics - Theory · Physics 2014-07-10 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

It is shown that the currently studied ``string-inspired'' model for gravity on a line can be formulated as a gauge invariant theory based on the Poincar\'e group with central extension -- a formulation that complements and simplifies…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Roman Jackiw

A systematic approach to the description of gauge invariant charges is presented and applied to the construction of both the static colour charge configuration in QCD and the monopole solution in pure SU(2). The gauge invariant non-abelian…

High Energy Physics - Theory · Physics 2009-09-29 R Horan , A Khvedelidze , M Lavelle , D McMullan

Maxwell test fields as well as solutions of linearized gravity on the Kerr exterior admit non-radiating modes, i.e. non-trivial time-independent solutions. These are closely related to conserved charges. In this paper we discuss the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Steffen Aksteiner , Lars Andersson

A recently introduced approach for the dynamical analysis and quantization of field theoretical models with second class constraints is ilustrated applied to linearized gravity in 3-D. The canonical structure of two different models of…

High Energy Physics - Theory · Physics 2009-10-28 Pio Jose Arias y Jorge Stephany

In linearized gravity with distributed matter, the background metric has no generic symmetries, and decomposition of the metric perturbation into global normal modes is generally impractical. This complicates the identification of the…

General Relativity and Quantum Cosmology · Physics 2022-11-17 Deepen Garg , I. Y. Dodin

We construct the gauge-invariant electric and magnetic charges in Yang-Mills theory coupled to cosmological General Relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser. For…

High Energy Physics - Theory · Physics 2021-07-29 Emel Altas , Ercan Kilicarslan , Bayram Tekin

Previously, we have developed a general method to construct invariant conserved currents and charges in gravitational theories with Lagrangians that are invariant under spacetime diffeomorphisms and local Lorentz transformations. This…

High Energy Physics - Theory · Physics 2008-11-26 Yuri N. Obukhov , Guillermo F. Rubilar

We present a unified description of gravity and electromagnetism in the framework of a $Z_2$ noncommutative differential calculus. It can be considered as a ``discrete version" of Kaluza-Klein theory, where the fifth continuous dimension is…

High Energy Physics - Theory · Physics 2009-10-28 Giovanni Landi , Nguyen Ai Viet , Kameshwar C. Wali

Lorentz and diffeomorphism violations are studied in linearized gravity using effective field theory. A classification of all gauge-invariant and gauge-violating terms is given. The exact covariant dispersion relation for gravitational…

General Relativity and Quantum Cosmology · Physics 2018-02-23 Alan Kostelecky , Matthew Mewes

We consider the harmonic gauge condition in linearized gravity, seen as a gauge theory for a symmetric tensor field. Once the harmonic gauge condition is implemented, as customary, according to the Faddeev-Popov procedure, the gauge fixed…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Giulio Gambuti , Nicola Maggiore

We develop a linearized five dimensional Kaluza-Klein theory as a gauge theory. By perturbing the metric around flat and the De Sitter backgrounds, we first discuss linearized gravity as a gauge theory in any dimension. In the particular…

High Energy Physics - Theory · Physics 2008-12-18 G. Atondo-Rubio , J. A. Nieto , L. Ruiz , J. Silvas

Suggested a non-linear, non-gauge invariant model of Maxwell equations, based on the Kaluza-Klein theory. The spectrum of elementary charges and masses is obtained.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dmitriy M Palatnik

Massive higher spin fields on de Sitter space exhibit enhanced gauge symmetries at special values of the mass. These fields are known as "partially massless." We study the structure of the charges and Gauss laws which characterize sources…

High Energy Physics - Theory · Physics 2017-06-06 Kurt Hinterbichler , Rachel A. Rosen

We discuss linearized gravity from the point of view of a gauge theory. In (3+1)-dimensions our analysis allows to consider linearized gravity in the context of the MacDowell-Mansouri formalism. Our observations may be of particular…

High Energy Physics - Theory · Physics 2009-11-10 J. A. Nieto

Theory of pointlike magnetic monopole with an arbitrary magnetic charge is considered. It is shown that a proper description requires making use of nonunitary representations of the rotation group and the nonassociative generalization of…

High Energy Physics - Theory · Physics 2012-07-05 Alexander I Nesterov , F. Aceves de la Cruz
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