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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

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

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

We show that we can derive the asymptotic Einstein's equations that arises at order $1/r$ in asymptotically flat gravity purely from symmetry considerations. This is achieved by studying the transformation properties of functionals of the…

High Energy Physics - Theory · Physics 2022-11-04 Laurent Freidel , Daniele Pranzetti

We generalise BMS algebras in three dimensions by the introduction of an arbitrary real parameter $\lambda$, recovering the standard algebras (BMS, extended BMS and Weyl-BMS) for $\lambda=-1$. We exhibit a realisation of the (centreless)…

High Energy Physics - Theory · Physics 2024-12-17 Carlos Batlle , José Figueroa-O'Farrill , Joaquim Gomis , Girish Vishwa

We show that we can combine the (complex, self-dual) BMS vector fields with the recently defined BMS twistors to obtain a new supersymmetric extension of the BMS symmetries at null infinity. We compare our construction to other…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Kartik Prabhu

BMS group (and it's various generalizations) at null infinity have been studied extensively in the literature as the symmetry group of asymptotically flat spacetimes. The intricate relationship between soft theorems and the BMS symmetries…

High Energy Physics - Theory · Physics 2021-05-19 Anupam A H , Aniket Khairnar , Arpan Kundu

The Bondi-van der Burg-Metzner-Sachs (BMS) group is the asymptotic symmetry group of asymptotically flat gravity. Recently, Donnay et al. have derived an analogous symmetry group acting on black hole event horizons. For a certain choice of…

High Energy Physics - Theory · Physics 2017-10-25 Robert F. Penna

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 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

It has been argued that the symmetries of gravity at null infinity should include a Diff$(S^2)$ factor associated to diffeomorphisms on the celestial sphere. However, the standard phase space of gravity does not support the action of such…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Miguel Campiglia , Javier Peraza

The surface charge algebra of generic asymptotically locally (A)dS$_4$ spacetimes without matter is derived without assuming any boundary conditions. Surface charges associated with Weyl rescalings are vanishing while the boundary…

High Energy Physics - Theory · Physics 2020-12-02 Geoffrey Compère , Adrien Fiorucci , Romain Ruzziconi

This thesis deals with the phase space realization of asymptotic higher spin symmetries, in 4d asymptotically flat spacetimes. In the gravitational case for instance, these symmetries generalize the BMS algebra to include an infinite tower…

High Energy Physics - Theory · Physics 2026-03-30 Nicolas Cresto

Weyl transverse gravity is a gravitational theory that is invariant under transverse diffeomorphisms and Weyl transformations. It is characterised by having the same classical solutions as general relativity while solving some of its issues…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Ana Alonso-Serrano , Luis J. Garay , Marek Liška

In this work, we derive a set of boost-weighted $w$ functionals of the metric, with $w\in\{2,1,0,-1,-2\}$, which transform semi-covariantly under the action of the near-horizon symmetry group. In particular, we demonstrate that the…

High Energy Physics - Theory · Physics 2026-02-25 Gianfranco De Simone

Scalar QFT on the boundary $\Im^+$ at null infinity of a general asymptotically flat 4D spacetime is constructed using the algebraic approach based on Weyl algebra associated to a BMS-invariant symplectic form. The constructed theory is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Dappiaggi , V. Moretti , N. Pinamonti

The Lie algebra generated by supertranslation and superrotation vector fields at null infinity, known as the extended BMS (eBMS) algebra is expected to be a symmetry algebra of the quantum gravity S matrix. However, the algebra of…

High Energy Physics - Theory · Physics 2021-06-29 Miguel Campiglia , Alok Laddha

We perform a complete and systematic analysis of the solution space of six-dimensional Einstein gravity. We show that a particular subclass of solutions -- those that are analytic near $\mathcal{I}^+$ -- admit a non-trivial action of the…

High Energy Physics - Theory · Physics 2023-11-27 Federico Capone , Prahar Mitra , Aaron Poole , Bilyana Tomova

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

The asymptotic symmetry of an isolated gravitating system, or the Bondi-Metzner-Sachs (BMS) group, contains an infinite-dimensional subgroup of supertranslations. Despite decades of study, the difficulties with the "supertranslation…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Po-Ning Chen , Mu-Tao Wang , Ye-Kai Wang , Shing-Tung Yau
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