Gauge-invariant quadratic approximation of quasi-local mass and its relation with Hamiltonian for gravitational field

DOI10.1088/1361-6382/abdb4czbMath1481.83039arXiv2006.08396OpenAlexW3120809518MaRDI QIDQ5163370

Jerzy Kijowski, Piotr Waluk, Jacek Jezierski

Publication date: 3 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08396

zbMATH Keywords

Hamiltonianlinearized gravityHawking massquasi-local energy

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Gravitational energy and conservation laws; groups of motions (83C40) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Boundary value problems on manifolds (58J32) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items

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

Cites Work

• On the existence of rigid spheres in four-dimensional spacetime manifolds
• Quasi-local energy-momentum and angular momentum in general relativity
• The localization of energy in gauge field theories and in linear gravitation
• A symplectic framework for field theories
• A simple derivation of canonical structure and quasi-local Hamiltonians in general relativity
• Energy and angular momentum of the weak gravitational waves on the Schwarzschild background. -- Quasilocal gauge-invariant formulation
• Rigid spheres in Riemannian spaces
• Hamiltonian Field Theory in the Radiating Regime
• Energy in gravitation and Noether’s theorems
• Gauge-invariant description of weak gravitational field on a spherically symmetric background with cosmological constant