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The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of…

High Energy Physics - Theory · Physics 2020-09-07 Romain Ruzziconi

The purpose of this dissertation is to examine the BMS symmetry group, which arises as the asymptotic symmetry group of four-dimensional asymptotically flat spacetimes at null infinity, and to uncover its relation to the Carroll group.…

General Relativity and Quantum Cosmology · Physics 2018-05-28 Yvonne Calò

After motivating the relevance of the Bondi-Metzner-Sachs (BMS) group over the last decades, we review how concepts such as Penrose diagrams and the covariant phase space formalism can be used to understand the asymptotic structure of…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Xavier Kervyn

We study the Lie group structure of asymptotic symmetry groups in General Relativity from the viewpoint of infinite-dimensional geometry. To this end, we review the geometric definition of asymptotic simplicity and emptiness due to Penrose…

General Relativity and Quantum Cosmology · Physics 2022-03-01 David Prinz , Alexander Schmeding

It is natural to regulate an infinite-sized system by imposing a boundary condition at finite distance, placing the system in a "box." This breaks symmetries, though the breaking is small when the box is large. One should thus be able to…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Tomas Andrade , Donald Marolf

A review of our results on the asymptotic structure of gravity at spatial infinity in four spacetime dimensions is given. Finiteness of the action and integrability of the asymptotic Lorentz boost generators are key criteria that we…

High Energy Physics - Theory · Physics 2023-06-06 Marc Henneaux , Cédric Troessaert

Gravitational waves with a space-translation Killing field are considered. In this case, the 4-dimensional Einstein vacuum equations are equivalent to the 3-dimensional Einstein equations with certain matter sources. This interplay between…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Abhay Ashtekar , Jiri Bicak , Bernd G. Schmidt

These are the extended lecture notes for a minicourse presented at the I S\~ao Paulo School on Gravitational Physics discussing the Bondi--Metzner--Sachs (BMS) group, the group of symmetries at null infinity on asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Níckolas de Aguiar Alves

In this work the asymptotic structure of space-time and the main properties of the Bondi-Metzner-Sachs (BMS) group, which is the asymptotic symmetry group of asymptotically flat space-times, are analysed. Every chapter, except the fourth,…

General Relativity and Quantum Cosmology · Physics 2019-01-24 Francesco Alessio

The asymptotic structure of null and spatial infinities of asymptotically flat spacetimes plays an essential role in discussing gravitational radiation, gravitational memory effect, and conserved quantities in General Relativity. Bondi,…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy

This is a review of selected topics from recent work on symmetry charges in asymptotically flat spacetime done by the author in collaboration with U. Kol and R. Javadinezhad. First we reinterpret the reality constraint on the boundary…

High Energy Physics - Theory · Physics 2021-08-18 M. Porrati

Using the dictionary between Bondi and Fefferman-Graham gauges, we identify the analogues of the Bondi news, Bondi mass and Bondi angular momentum aspects at the boundary of generic asymptotically locally (A)dS$_4$ spacetimes. We introduce…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Geoffrey Compère , Adrien Fiorucci , Romain Ruzziconi

The asymptotic symmetry group of general relativity in asymptotically flat spacetimes can be extended from the Bondi-Metzner-Sachs (BMS) group to the generalized BMS (GMBS) group suggested by Campiglia and Laddha, which includes arbitrary…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Eanna E. Flanagan , David A. Nichols

Recently it has been shown that there is asymptotic BMS-like symmetry associated with the near-horizon geometry of black holes in three and four dimensions. In this paper, we show that the presence of such BMS-like symmetry is a ubiquitous…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Changfu Shi , Jianwei Mei

We study asymptotically flat spacetimes in five spacetime dimensions by Hamiltonian methods, focusing on spatial infinity and keeping all asymptotically relevant nonlinearities in the transformation laws and in the charge-generators.…

High Energy Physics - Theory · Physics 2022-02-16 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

The asymptotic group of symmetries at null infinity of flat spacetimes in three and four dimensions is the infinite dimensional Bondi-Metzner-Sachs (BMS) group. This has recently been shown to be isomorphic to non-relativistic conformal…

High Energy Physics - Theory · Physics 2014-08-05 Arjun Bagchi , Reza Fareghbal

We propose a framework to study local gauge theories on manifolds with boundaries and asymptotic symmetries, which is based on representing them as so-called gauge PDEs. These objects extend the conventional BV-AKSZ sigma-models to the case…

Mathematical Physics · Physics 2024-04-25 Maxim Grigoriev , Mikhail Markov

We investigate asymptotic symmetries which preserve the Bondi gauge conditions but do not preserve the asymptotic falloff conditions for the metric near the null boundary, and their connection to soft graviton theorems for scattering…

High Energy Physics - Theory · Physics 2022-12-07 Bart Horn

In the companion paper [SciPost Phys. 13, 108 (2022), arXiv:2205.11401 [hep-th]] we have studied the solution space at null infinity for gravity in the partial Bondi gauge. This partial gauge enables to recover as particular cases and among…

High Energy Physics - Theory · Physics 2024-03-20 Marc Geiller , Céline Zwikel

We make some general remarks on long-ranged configurations in gauge or diffeomorphism invariant theories where the fields are allowed to assume some non vanishing values at spatial infinity. In this case the Gauss constraint only eliminates…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Domenico Giulini
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