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Asymptotically flat spacetimes have been studied in five separate regions: future/past timelike infinity $i^\pm$, future/past null infinity $\mathcal{I}^\pm$, and spatial infinity $i^0$. We formulate assumptions and definitions such that…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Geoffrey Compère , Samuel E. Gralla , Hongji Wei

We show that the asymptotic charges associated with Lorentz symmetries on past and future null infinity match in the limit to spatial infinity in a class of asymptotically-flat spacetimes. These are spacetimes that obey the Ashtekar-Hansen…

General Relativity and Quantum Cosmology · Physics 2022-08-08 Kartik Prabhu , Ibrahim Shehzad

For asymptotically flat spacetimes, a conjecture by Strominger states that asymptotic BMS-supertranslations and their associated charges at past null infinity $\mathscr{I}^{-}$ can be related to those at future null infinity…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy , Kartik Prabhu , Juan A. Valiente Kroon

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

We construct the phase space of 3-dimensional asymptotically flat spacetimes that forms the bulk metric representation of the BMS group consisting of both supertranslations and superrotations. The asymptotic symmetry group is a unique copy…

High Energy Physics - Theory · Physics 2017-10-25 Geoffrey Compère , Adrien Fiorucci

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

We propose a solution to a classic problem in gravitational physics consisting of defining the spin associated with asymptotically-flat spacetimes. We advocate that the correct asymptotic symmetry algebra to approach this problem is the…

High Energy Physics - Theory · Physics 2024-12-16 Laurent Freidel , Seyed Faroogh Moosavian , Daniele Pranzetti

Null infinity in asymptotically flat spacetimes posses a rich mathematical structure; including the BMS group and the Bondi news tensor that allow one to study gravitational radiation rigorously. However, FLRW spacetimes are not…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Béatrice Bonga , Kartik Prabhu

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

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

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 asymptotic charges of spin-1 and spin-2 fields are studied near spatial infinity. We evaluate the charges at the critical sets where spatial infinity meets null infinity with the aim of finding the relation between the charges at future…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy , Juan A. Valiente Kroon

The Bondi-van der Burg-Metzner-Sachs (BMS) group is the asymptotic symmetry group of asymptotically flat spacetime. It is infinite dimensional and entails an infinite number of conservation laws. According to the black hole membrane…

High Energy Physics - Theory · Physics 2016-03-23 Robert F. Penna

We present a new set of asymptotic conditions for gravity at spatial infinity that includes gravitational magnetic-type solutions, allows for a non-trivial Hamiltonian action of the complete $BMS_4$ algebra, and leads to a non-divergent…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Marc Henneaux , Cédric Troessaert

The asymptotic structure of three-dimensional hypergravity without cosmological constant is analyzed. In the case of gravity minimally coupled to a spin-$5/2$ field, a consistent set of boundary conditions is proposed, being wide enough so…

High Energy Physics - Theory · Physics 2015-11-05 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

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

We analyze the asymptotic symmetries and their associated charges at spatial infinity in $4$-dimensional asymptotically-flat spacetimes. We use the covariant formalism of Ashtekar and Hansen where the asymptotic fields and symmetries live…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Kartik Prabhu , Ibrahim Shehzad

Penrose's idea of asymptotic flatness provides a framework for understanding the asymptotic structure of gravitational fields of isolated systems at null infinity. However, the studies of the asymptotic behaviour of fields near spatial…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy , Juan A. Valiente Kroon

In a previous paper (hep-th/0306142) we have started to explore the holographic principle in the case of asymptotically flat space-times and analyzed in particular different aspects of the Bondi-Metzner-Sachs (BMS) group, namely the…

High Energy Physics - Theory · Physics 2008-11-26 Giovanni Arcioni , Claudio Dappiaggi

These notes are an introduction to asymptotic symmetries in gauge theories, with a focus on general relativity in four dimensions. We explain how to impose consistent sets of boundary conditions in the gauge fixing approach and how to…

High Energy Physics - Theory · Physics 2020-05-05 Romain Ruzziconi
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