Hamiltonian surface charges using external sources

DOI10.1063/1.4947177zbMath1342.83019arXiv1509.09094OpenAlexW3104120257MaRDI QIDQ2814228

Cédric Troessaert

Publication date: 20 June 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09094

zbMATH Keywords

Hamiltonian formalismboundary conditionsgauge symmetriesintegrability problemHamiltonian surface charges

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (12)

Vacua of the gravitational field ⋮ Extended phase space in general gauge theories ⋮ Gravitational \( \mathrm{SL} (2, \mathbb{R} )\) algebra on the light cone ⋮ The Weyl BMS group and Einstein's equations ⋮ Extended corner symmetry, charge bracket and Einstein's equations ⋮ BMS group at spatial infinity: the Hamiltonian (ADM) approach ⋮ Anomalies in gravitational charge algebras of null boundaries and black hole entropy ⋮ Conservation and integrability in lower-dimensional gravity ⋮ Null infinity as an open Hamiltonian system ⋮ Coadjoint representation of the BMS group on celestial Riemann surfaces ⋮ Charge algebra in \(\mathrm{Al}(A)dS_n\) spacetimes ⋮ The Kerr/CFT correspondence and its extensions

Cites Work

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• 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
• Anti de Sitter space and holography
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• BMS charge algebra
• Putting an edge to the Poisson bracket
• General definition of “conserved quantities” in general relativity and other theories of gravity
• Surface charge algebra in gauge theories and thermodynamic integrability

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