BMS group at spatial infinity: the Hamiltonian (ADM) approach

DOI10.1007/JHEP03(2018)147zbMath1388.83015arXiv1801.03718OpenAlexW3103003220MaRDI QIDQ1750982

Cédric Troessaert, Marc Henneaux

Publication date: 23 May 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03718

zbMATH Keywords

classical theories of gravityspace-time symmetriesglobal symmetries

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (45)

Asymptotic charges for spin-1 and spin-2 fields at the critical sets of null infinity ⋮ Null infinity, the BMS group and infrared issues ⋮ From parabolic to loxodromic BMS transformations ⋮ A quantum informational approach to the problem of time ⋮ Conservation of asymptotic charges from past to future null infinity: Maxwell fields ⋮ Asymptotic symmetries in \(p\)-form theories ⋮ Asymptotic symmetries of electromagnetism at spatial infinity ⋮ Asymptotic symmetries of Yang-Mills fields in Hamiltonian formulation ⋮ The \(\Lambda- \mathrm{BMS}_4\) charge algebra ⋮ A gauge-invariant symplectic potential for tetrad general relativity ⋮ Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity ⋮ Strolling along gravitational vacua ⋮ Logarithmic supertranslations and supertranslation-invariant Lorentz charges ⋮ Residual gauge symmetry in light-cone electromagnetism ⋮ An asymptotic framework for gravitational scattering ⋮ An embedding space approach to Carrollian CFT correlators for flat space holography ⋮ Conservation of asymptotic charges from past to future null infinity: Lorentz charges in general relativity ⋮ Asymptotic \(\mathcal{O}(r)\) gauge symmetries and gauge-invariant Poincaré generators in higher spacetime dimensions ⋮ Asymptotic symmetries in Carrollian theories of gravity with a negative cosmological constant ⋮ Loop-corrected subleading soft theorem and the celestial stress tensor ⋮ The gauging procedure and Carrollian gravity ⋮ The asymptotic structure of gravity at spatial infinity in four spacetime dimensions ⋮ Phase space renormalization and finite BMS charges in six dimensions ⋮ BMS-supertranslation charges at the critical sets of null infinity ⋮ Asymptotic shear and the intrinsic conformal geometry of null-infinity ⋮ Comments on Lorentz transformations, dressed asymptotic states and Hawking radiation ⋮ (2, 2) scattering and the celestial torus ⋮ Bondi-Metzner-Sachs algebra as an extension of the Poincaré symmetry in light-cone gravity ⋮ Corners of gravity: the case of gravity As a constrained BF theory ⋮ Celestial IR divergences and the effective action of supertranslation modes ⋮ Asymptotic structure of the Pauli–Fierz theory in four spacetime dimensions ⋮ Horizon symmetries and hairy black holes in AdS ⋮ Multipole expansion of gravitational waves: from harmonic to Bondi coordinates ⋮ Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity ⋮ BMS algebras in 4 and 3 dimensions, their quantum deformations and duals ⋮ 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 ⋮ Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension ⋮ T-Witts from the horizon ⋮ BMS algebra from residual gauge invariance in light-cone gravity ⋮ Asymptotic symmetries in Carrollian theories of gravity ⋮ Supertranslations at timelike infinity ⋮ Localisation of soft charges, and thermodynamics of softly hairy black holes ⋮ Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis ⋮ The SAGEX review on scattering amplitudes Chapter 11: Soft Theorems and Celestial Amplitudes

Cites Work

• Unnamed Item
• Unnamed Item
• On BMS invariance of gravitational scattering
• Asymptotic symmetries of Yang-Mills theory
• BMS supertranslations and not so soft gravitons
• Superrotation charge and supertranslation hair on black holes
• Centrally extended BMS4 Lie algebroid
• Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Republication of: The dynamics of general relativity
• Role of surface integrals in the Hamiltonian formulation of general relativity
• Gravitational fields near space-like and null infinity
• Asymptotically anti-de Sitter spaces
• Holographic renormalization
• New gravitational memories
• Gravitational memory, BMS supertranslations and soft theorems
• Finite BMS transformations
• Vacua of the gravitational field
• Sub-subleading soft gravitons and large diffeomorphisms
• Asymptotic U(1) charges at spatial infinity
• Flat-space holography and stress tensor of Kerr black hole
• Einstein's equations near spatial infinity
• BMS charge algebra
• Sub-subleading soft gravitons: new symmetries of quantum gravity?
• Aspects of the BMS/CFT correspondence
• On the asymptotics for the vacuum Einstein constraint equations
• New symmetries for the gravitational S-matrix
• BMS supertranslations and Weinberg's soft graviton theorem
• Asymptotic symmetries of gravity and soft theorems for massive particles
• Bondi-type systems near spacelike infinity and the calculation of the Newman–Penrose constants
• Hamiltonian surface charges using external sources
• Classical static final state of collapse with supertranslation memory
• Solutions of special asymptotics to the Einstein constraint equations
• Relaxing the parity conditions of asymptotically flat gravity
• Bulk supertranslation memories: A concept reshaping the vacua and black holes of general relativity
• The theory of gravitation in Hamiltonian form
• Fixation of Coordinates in the Hamiltonian Theory of Gravitation
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Integration of Einstein’s equations near spatial infinity
• Black hole statistics
• Calculating asymptotic quantities near space-like and null infinity from Cauchy data
• The BMS4 algebra at spatial infinity
• On the structure and applications of the Bondi–Metzner–Sachs group
• Soft hair as a soft wig
• Lectures on the Infrared Structure of Gravity and Gauge Theory
• Scalar Curvature and the Einstein Constraint Equations
• Zero rest-mass fields including gravitation: asymptotic behaviour
• Superrotations and black hole pair creation
• Behavior of Asymptotically Flat Empty Spaces
• Asymptotic Symmetries in Gravitational Theory
• Forms of Relativistic Dynamics

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