The momentum constraints of general relativity and spatial conformal isometries

DOI10.1007/BF02099258zbMath0852.53067arXivgr-qc/9412029OpenAlexW2060553951MaRDI QIDQ1918083

Niall Ó Murchadha, Robert Beig

Publication date: 22 August 1996

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9412029

zbMATH Keywords

asymptotic structuregravitational energydecay at infinitymomentum constraintsspatial conformal isometries

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items

Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions ⋮ Boundary effects in general relativity with tetrad variables ⋮ Perturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime ⋮ Nonexistence of Conformally Flat Slices in Kerr and Other Stationary Spacetimes ⋮ Symmetric variations of the metric and extrema of the action for pure gravity

Cites Work

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• The boost problem in general relativity
• Decomposition of the space of covariant two-tensors on \(R^ 3\).
• On the proof of the positive mass conjecture in general relativity
• Time symmetric initial data and Penrose's quasilocal mass
• The Yamabe problem
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity

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