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We supplement the recently found dual gravitational charges with dual charges for the whole BMS symmetry algebra. Furthermore, we extend the dual charges away from null infinity, defining subleading dual charges. These subleading dual…

High Energy Physics - Theory · Physics 2021-02-24 Hadi Godazgar , Mahdi Godazgar , C. N. Pope

It is well known that a theory of the (i) Lorentz invariant and (ii) locally interacting (iii) two degrees of freedom of a massless spin 1 particle, the photon, leads uniquely to electromagnetism at large distances. In this work, we remove…

High Energy Physics - Theory · Physics 2020-08-12 Mark P. Hertzberg , Jacob A. Litterer

In this paper, we derive the generic solution of the Newman-Penrose equations in the Newman-Unti gauge with vanishing curvature tensor. The obtained solutions are the vacua of the gravitational theory which are connected to the derivations…

High Energy Physics - Theory · Physics 2024-09-04 Pujian Mao

In this article we explore local Lorentz transformations in theories of gravity based on the teleparallel formalism. For the teleparallel equivalent of general relativity (TEGR), the spin connection plays no role in the equations of motion,…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Alexey Golovnev , Maria-Jose Guzman

We address some issues in higher-derivative gauged supergravity with Chern-Simons terms, focusing on the five-dimensional case. We discuss the variational problem with Dirichlet boundary conditions as well as holographic renormalization in…

High Energy Physics - Theory · Physics 2023-07-26 Davide Cassani , Alejandro Ruipérez , Enrico Turetta

Dual gravitational charges have been recently computed from the Holst term in tetrad variables using covariant phase space methods. We highlight that they originate from an exact 3-form in the tetrad symplectic potential that has no…

High Energy Physics - Theory · Physics 2020-12-30 Roberto Oliveri , Simone Speziale

A field theory on a three-dimensional manifold is introduced, whose field equations are the constraint equations for general relativity on a three-dimensional null hypersurface. The underlying boundary action consists of two copies of the…

General Relativity and Quantum Cosmology · Physics 2019-12-23 Wolfgang Wieland

A new derivation of surface charges for 3+1 gravity coupled to Electromagnetism is obtained. Gravity theory is written in the tetrad-connection variables. The general derivation starts from the Lagrangian and uses the covariant symplectic…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Ernesto Frodden , Diego Hidalgo

In this paper, we consider the bulk plus boundary phase space for three-dimensional gravity with negative cosmological constant for a particular choice of conformal boundary conditions: the conformal class of the induced metric at the…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Jeevan Chandra Namburi , Wolfgang Wieland

We extend Penrose's quasi-local mass definition to include higher-spin charges associated with the celestial $Lw_{1+\infty}$ symmetries and relate them to traditional definitions of multipoles. The resulting formulae provide explicit…

High Energy Physics - Theory · Physics 2026-04-16 Adam Kmec , Lionel Mason , Romain Ruzziconi

We show that gravitational solitons naturally carry gauge charges beyond those of any local quantum field. The effect of these charged excitations is to break a non-invertible symmetry to its maximal group-like sub-symmetry. Taking these…

High Energy Physics - Theory · Physics 2021-08-06 Jacob McNamara

We propose a new set of BMS charges at null infinity, characterized by a super-translation flux that contains only the `hard' term. This is achieved with a specific corner improvement of the symplectic 2-form, and we spell the conditions…

General Relativity and Quantum Cosmology · Physics 2025-02-21 Antoine Rignon-Bret , Simone Speziale

This paper studies the reduced phase space formulation (relational formalism) of gravity coupling to the Brown-Kucha\v r dust for asymptotic flat spacetimes. A set of boundary conditions for the asymptotic flatness are formulated for Dirac…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Muxin Han , Zichang Huang , Hongwei Tan

In this paper we study the dual charges of $\mathcal{N}=1$ supergravity in asymptotically flat space-time. The action considered is the usual supergravity action with a topological contribution. This is the Nieh-Yan term and the magnetic…

High Energy Physics - Theory · Physics 2022-10-19 Bilyana L. Tomova

There exist instances of dynamical systems possessing symmetry transformations of which the conserved Noether charges generating these symmetries feature an explicit time dependence in their functional representation over phase space. The…

High Energy Physics - Theory · Physics 2019-07-02 Jan Govaerts

It is well known that the field equations of teleparallel theory which is equivalent to general relativity (TEGR) completely agree with the field equation of general relativity (GR). However, TEGR has six extra degrees of freedom which…

General Physics · Physics 2016-09-01 Gamal G. L. Nashed , B. Elkhatib

The possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential…

High Energy Physics - Theory · Physics 2015-05-18 Szilard Farkas , Emil J. Martinec

Pure three-dimensional gravity is a renormalizable theory with two free parameters labelled by $G$ and $\Lambda$. As a consequence, correlation functions of the boundary stress tensor in AdS$_3$ are uniquely fixed in terms of one…

High Energy Physics - Theory · Physics 2022-08-31 Stephen Ebert , Eliot Hijano , Per Kraus , Ruben Monten , Richard M. Myers

We revisit the covariant phase space formalism applied to gravitational theories with null boundaries, utilizing the most general boundary conditions consistent with a fixed null normal. To fix the ambiguity inherent in the Wald-Zoupas…

High Energy Physics - Theory · Physics 2021-04-21 Venkatesa Chandrasekaran , Antony J. Speranza

We consider the algebra associated to a group of transformations which are symmetries of a regular mechanical system (i.e. system free of constraints). For time dependent coordinate transformations we show that a central extension may…

Quantum Physics · Physics 2007-05-23 A. Cabo , J. L. Lucio M. , V. Villanueva