Hamiltonian charges on light cones for linear field theories on (A)dS backgrounds

DOI10.1063/5.0166112arXiv2305.12980MaRDI QIDQ6087436

Tomasz Smołka, Piotr T. Chrusciel

Publication date: 12 December 2023

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

Full work available at URL: https://arxiv.org/abs/2305.12980

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Gravitational waves (83C35)

Cites Work

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• A symplectic framework for field theories
• A simple derivation of canonical structure and quasi-local Hamiltonians in general relativity
• The \(\Lambda- \mathrm{BMS}_4\) charge algebra
• Hamiltonian Field Theory in the Radiating Regime
• Radiative gravitational fields in general relativity I. General structure of the field outside the source
• Boundary values as Hamiltonian variables. I. New Poisson brackets
• Gauge-invariant quadratic approximation of quasi-local mass and its relation with Hamiltonian for gravitational field

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