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We prove that symmetry in the presence of gravity implies a version of the completeness hypothesis. For a broad class of theories, we demonstrate that the existence of finitely many charged particles logically necessitates the existence of…

High Energy Physics - Theory · Physics 2026-05-12 Francesco Calisto , Clifford Cheung , Grant N. Remmen , Francesco Sciotti , Michele Tarquini

We generalize a notion of 'conserved' charges given by Wald and Zoupas to the asymptotically de Sitter spacetimes. Surprisingly, our construction is less ambiguous than the one encountered in the asymptotically flat context. An expansion…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Maciej Kolanowski , Jerzy Lewandowski

After a review of symmetries and classical solutions involved in the AdS3/CFT2 correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity in 3 and 4 dimensions. In the spirit of two dimensional conformal…

High Energy Physics - Theory · Physics 2010-12-09 Glenn Barnich , Cedric Troessaert

We revisit the status of asymptotic symmetries in higher even dimensions and propose a definition of superrotation charge beyond linearized gravity. We prove that there is a well-defined spacetime action of the superrotation charge on the…

High Energy Physics - Theory · Physics 2023-01-11 Chandramouli Chowdhury , Anupam A. H. , Arpan Kundu

We study solutions to the linear wave equation on the cosmological region of Schwarzschild-de Sitter spacetimes. We show that all sufficiently regular finite-energy solutions to the linear equation possess a particular finite-order…

Analysis of PDEs · Mathematics 2024-07-15 Louie Bernhardt

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

We present a comprehensive discussion of gravitational charges and radiation in four-dimensional asymptotically locally de Sitter (AldS) spacetimes. Such spacetimes have compact spatial sections and possess spacelike past and future…

High Energy Physics - Theory · Physics 2025-12-17 Aaron Poole , Kostas Skenderis , Marika Taylor

We study the asymptotic symmetries of Einstein gravity in flat space. Instead of Bondi gauge, we work with the recently introduced special double null gauge, in which $\mathscr{I}^{+}$ and $\mathscr{I}^{-}$ are approached along null…

High Energy Physics - Theory · Physics 2022-08-01 Chethan Krishnan , Jude Pereira

In this brief review, we report on the status of asymptotic symmetries of gravity corresponding to the class of metrices named asymptotically flat spacetimes in higher (d > 4) dimensions. We discuss the consequences of these symmetries both…

High Energy Physics - Theory · Physics 2023-07-18 Arpan Kundu

In this paper, the effects of adding spatial conformal symmetry to the asymptotic symmetry group of an asymptotically conformally flat spacetime are studied. It is shown that, in addition to the BMS group, only the dilations of the spatial…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Sepideh Bakhoda , Fatemeh Mahdieh , Hossein Shojaie

The last few years have seen considerable mathematical progress concerning the asymptotic structure of gravitational radiation in dynamical, astrophysical spacetimes. In this paper, we distil some of the key ideas from recent works and…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Dejan Gajic , Lionor M. A. Kehrberger

We review issues related to conservation laws for gravity with a negative cosmological constant subject to asymptotically (locally) anti-de Sitter boundary conditions. Beginning with the empty AdS spacetime, we introduce asymptotically…

General Relativity and Quantum Cosmology · Physics 2014-04-25 Sebastian Fischetti , William Kelly , Donald Marolf

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

We study solutions of the Newtonian $n$-body problem which tend to infinity hyperbolically, that is, all mutual distances tend to infinity with nonzero speed as $t \rightarrow +\infty$ or as $t \rightarrow -\infty$. In suitable coordinates,…

Dynamical Systems · Mathematics 2020-05-11 Nathan Duignan , Richard Moeckel , Richard Montgomery , Guowei Yu

In this paper we study the magnetic charges of the free massless Rarita-Schwinger field in four dimensional asymptotically flat space-time. This is the first step towards extending the study of the dual BMS charges to supergravity. The…

High Energy Physics - Theory · Physics 2022-01-31 Bilyana L. Tomova

We investigate the asymptotic symmetries of General Relativity at spatial infinity within the first-order formalism described by the Holst action. Employing the covariant phase space method, we propose a set of relaxed boundary conditions…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Sepideh Bakhoda , Hongguang Liu

This is the second paper of a two part work that establishes a definitive quantitative nonlinear scattering theory for asymptotically de Sitter vacuum solutions $(M,g)$ in $(n+1)$ dimensions with $n\geq4$ even, which are determined by small…

Analysis of PDEs · Mathematics 2026-05-20 Serban Cicortas

The Conformal Einstein equations and the representation of spatial infinity as a cylinder introduced by Friedrich are used to analyse the behaviour of the gravitational field near null and spatial infinity for the development of data which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. A. Valiente Kroon

In this paper we investigate asymptotic isotropization. We derive the asymptotic dynamics of spatially inhomogeneous cosmological models with a perfect fluid matter source and a positive cosmological constant near the de Sitter equilibrium…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Woei Chet Lim , Henk van Elst , Claes Uggla , John Wainwright

We take a step towards the non-perturbative description of a two-dimensional dilaton-gravity theory which has a vanishing cosmological constant and contains black holes. This is done in terms of a double-scaled Hermitian random matrix model…

High Energy Physics - Theory · Physics 2023-04-19 Arjun Kar , Lampros Lamprou , Charles Marteau , Felipe Rosso