Center of mass integral in canonical general relativity

DOI10.1016/S0003-4916(03)00062-9zbMath1028.83006arXivgr-qc/0301069OpenAlexW3105370798MaRDI QIDQ1408363

D. Massart

Publication date: 15 September 2003

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0301069

zbMATH Keywords

asymptotic expansionsgravitationgeneral relativitycurvature integralArnowitt-Deser-Misner energyBeig-O'Murchadha integralcenter-of-mass integralgravitational Hamiltonian

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items

Quasi-local mass via isometric embeddings: a review from a geometric perspective, On limit behavior of quasi-local mass for ellipsoids at spatial infinity, Quasi-local energy-momentum and angular momentum in general relativity, Action and energy of the gravitational field, The Brown-York mass of revolution surfaces in asymptotically Schwarzschild manifolds, Quasi-local energy-momentum and angular momentum in gr: a review article, Improvements to the construction of binary black hole initial data, On the behavior of quasi-local mass at the infinity along nearly round surfaces

Cites Work

• Action and energy of the gravitational field
• Role of surface integrals in the Hamiltonian formulation of general relativity
• Stability of gravity with a cosmological constant
• The Poincaré group as the symmetry group of canonical general relativity
• More on Penrose's quasi-local mass
• Quasi-local mass for spheres
• The gravitational Hamiltonian, action, entropy and surface terms
• ASYMPTOTICALLY FLAT SPACETIMES AT SPATIAL INFINITY: THE FIELD APPROACH AND THE LAGRANGIAN DESCRIPTION
• Spin-s Spherical Harmonics and ð
• Asymptotic Symmetries in Gravitational Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item