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We show that the BMS-supertranslations and their associated supermomenta on past null infinity can be related to those on future null infinity, proving the conjecture of Strominger for a class of spacetimes which are asymptotically-flat in…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Kartik Prabhu

The flat/CFT dictionary between the bulk gravitational theory and boundary conformal field theory is systematically developed in this paper. Asymptotically flat spacetime is built up by asymptotically AdS hyperboloid slices in terms of…

High Energy Physics - Theory · Physics 2024-04-02 Zezhuang Hao

In this paper we establish two results concerning four-dimensional asymptotically flat spacetimes at spatial infinity. First, we show that the six conserved Lorentz charges are encoded in two unique, distinct, but mutually dual symmetric…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Geoffrey Compère , François Dehouck , Amitabh Virmani

We construct a two-dimensional action principle invariant under a spin-three extension of BMS$_3$ group. Such a theory is obtained through a reduction of Chern-Simons action with a boundary. This procedure is carried out by imposing a set…

High Energy Physics - Theory · Physics 2015-06-19 Hernan A. Gonzalez , Miguel Pino

We address the questions of conservation and integrability of the charges in two and three-dimensional gravity theories at infinity. The analysis is performed in a framework that allows us to treat simultaneously asymptotically locally AdS…

High Energy Physics - Theory · Physics 2021-04-28 Romain Ruzziconi , Céline Zwikel

We extend the Bondi formalism to describe asymptotically-flat spacetimes where the outgoing null geodesic congruence is not hypersurface-orthogonal, i.e. has non-vanishing twist. In the Newman-Penrose formulation, the twist…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Marc Geiller , Pujian Mao , Antoine Vincenti

In this paper we, first, generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of Lovelock gravity, by introducing the tensorial form of surface terms that make the action well-defined. We also…

High Energy Physics - Theory · Physics 2009-11-11 M. H. Dehghani , N. Bostani , A. Sheykhi

We show that tensoriality constraints in noncommutative Riemannian geometry in the 2-dimensional bicrossproduct model quantum spacetime algebra [x,t]=\lambda x drastically reduce the moduli of possible metrics g up to normalisation to a…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Edwin Beggs , Shahn Majid

We report that a class of three-dimensional bimetric theories contain asymptotically flat solutions. These spacetimes can be cast in a set of asymptotic conditions at null infinity which are preserved under the infinite dimensional BMS…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Hernan A. Gonzalez , Miguel Pino

We follow the spirit of a recent proposal to show that previous computations for asymptotically flat spacetimes in four dimensions at null infinity can be re-interpreted in terms of a well-defined holographic current algebra for the time…

High Energy Physics - Theory · Physics 2015-06-17 Glenn Barnich , Cédric Troessaert

We study the asymptotically flat rotating hairy black hole solution of a three-dimensional gravity theory which is given by taking the flat-space limit (zero cosmological constant limit) of new massive gravity. We propose that the dual…

High Energy Physics - Theory · Physics 2015-04-14 Reza Fareghbal , Seyed Morteza Hosseini

We consider 3D and 4D asymptotically flat spacetimes near future null infinity endowed with the most general allowed Carroll geometry. We define a boundary energy-momentum tensor by varying the on-shell action with respect to the Carroll…

High Energy Physics - Theory · Physics 2025-06-06 Jelle Hartong , Emil Have , Vijay Nenmeli , Gerben Oling

In order to get a better understanding of holographic properties of gravitational theories with a vanishing cosmological constant, we analyze in detail the relation between asymptotically anti-de Sitter and asymptotically flat spacetimes in…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Glenn Barnich , Andrés Gomberoff , Hernán A. González

We give a general geometric definition of asymptotic flatness at null infinity in $d$-dimensional general relativity ($d$ even) within the framework of conformal infinity. Our definition is arrived at via an analysis of linear perturbations…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Stefan Hollands , Akihiro Ishibashi

In this paper, we provide a comprehensive study of asymptotically flat spacetime in even dimensions $d\geq 4$. We analyze the most general boundary condition and asymptotic symmetry compatible with Penrose's definition of asymptotic null…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Laurent Freidel , Aldo Riello

The asymptotically flat structure of $\mathcal{N}=(2,0)$ supergravity in three spacetime dimensions is explored. The asymptotic symmetries are spanned by an extension of the super-BMS$_3$ algebra, with two independent $\hat{u}(1)$ currents…

High Energy Physics - Theory · Physics 2017-10-11 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

The ``standard'' expressions for total energy, linear momentum and also angular momentum of asymptotically flat Bondi metrics at null infinity are also obtained from differential conservation laws on asymptotically flat backgrounds, derived…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Joseph Katz , Dorit Lerer

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches…

High Energy Physics - Theory · Physics 2009-10-31 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

We present a Lorentzian version of three-dimensional noncommutative Einstein-AdS gravity by making use of the Chern-Simons formulation of pure gravity in 2+1 dimensions. The deformed action contains a real, symmetric metric and a real,…

High Energy Physics - Theory · Physics 2009-11-07 S. Cacciatori , D. Klemm , L. Martucci , D. Zanon

A consistent set of asymptotic conditions for the simplest supergravity theory without cosmological constant in three dimensions is proposed. The canonical generators associated to the asymptotic symmetries are shown to span a…

High Energy Physics - Theory · Physics 2015-06-22 Glenn Barnich , Laura Donnay , Javier Matulich , Ricardo Troncoso