On the structure and applications of the Bondi–Metzner–Sachs group

DOI10.1142/S0219887818300027zbMath1387.83017arXiv1709.05134OpenAlexW2754422714WikidataQ57514498 ScholiaQ57514498MaRDI QIDQ4602865

Francesco Alessio, Giampiero Esposito

Publication date: 7 February 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05134

zbMATH Keywords

black holesgravitational radiationasymptotic symmetryconformal infinitygravitational scatteringBondi-Metzner-Sachs groupasymptotically flat space-timenews functionChristodoulou-Klainerman space-time

Mathematics Subject Classification ID

Black holes (83C57) Gravitational energy and conservation laws; groups of motions (83C40) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (16)

From parabolic to loxodromic BMS transformations ⋮ Asymptotic symmetries of electromagnetism at spatial infinity ⋮ Lie theory for asymptotic symmetries in general relativity: The NU group ⋮ Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity ⋮ Logarithmic supertranslations and supertranslation-invariant Lorentz charges ⋮ A microscopic analogue of the BMS group ⋮ Isomorphism between the local Poincaré generalized translations group and the group of spacetime transformations \((\otimes\mathrm{LB}1)^4\) ⋮ Carrollian conservation laws and Ricci-flat gravity ⋮ BMS group at spatial infinity: the Hamiltonian (ADM) approach ⋮ Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity ⋮ Coadjoint representation of the BMS group on celestial Riemann surfaces ⋮ Asymptotic structure of a massless scalar field and its dual two-form field at spatial infinity ⋮ A fuzzy bipolar celestial sphere ⋮ Supertranslations at timelike infinity ⋮ Lie theory for asymptotic symmetries in general relativity: The BMS group ⋮ Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis

Cites Work

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• On BMS invariance of gravitational scattering
• Superrotation charge and supertranslation hair on black holes
• Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity
• A characterization of the Bondi-Metzner-Sachs group
• Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects.
• Vacuum Einstein metrics with bidimensional Killing leaves. I: Local aspects.
• Equations of motion as constraints: superselection rules, Ward identities
• The conformal BMS group
• The global structure of simple space-times
• Aspects of the BMS/CFT correspondence
• What is a singularity in general relativity?
• The sky pattern of the linearized gravitational memory effect
• Stability of a Schwarzschild Singularity
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Lagrangian Mechanics on Centered Semi-direct Products
• Exact Solutions of Einstein's Field Equations
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• Characterization of semidirect sum Lie algebras
• Advanced General Relativity
• Representations of the Bondi—Metzner—Sachs group I. Determination of the representations
• Representations of the Bondi-Metzner-Sachs group - II. Properties and classification of the representations
• Representations of the Bondi-Metzner—Sachs group III. Poincaré spin multiplicities and irreducibility
• Representations of the Bondi-Metzner-Sachs group IV. Cantoni representations are induced
• The singularities of gravitational collapse and cosmology
• General Relativity
• Canonical ADM tetrad gravity: From metrological inertial gauge variables to dynamical tidal Dirac observables
• BMS Particles in Three Dimensions
• Gravitational Collapse and Space-Time Singularities
• Zero rest-mass fields including gravitation: asymptotic behaviour
• The occurrence of singularities in cosmology
• Singularities in Closed Universes
• A Class of Representations of the Generalized Bondi—Metzner Group
• The occurrence of singularities in cosmology. II
• Spin-s Spherical Harmonics and ð
• The occurrence of singularities in cosmology. ɪɪɪ. Causality and singularities
• Local Characterization of Singularities in General Relativity
• Application of the Semidirect Product of Groups
• Structure of the Bondi-Metzner-Sachs Group
• The Large Scale Structure of Space-Time
• Behavior of Asymptotically Flat Empty Spaces
• Asymptotic Symmetries in Gravitational Theory
• Null geodesic congruences, asymptotically-flat spacetimes and their physical interpretation
• The rest-frame instant form of metric gravity.

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