Linkages in general relativity

DOI10.1063/1.524987zbMath0479.70004OpenAlexW2108040686MaRDI QIDQ3938546

Jeffrey Winicour, Robert Geroch

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.524987

zbMATH Keywords

linkagesasymptotic gaugeasymptotic properties of space-timeBMS asymptotic symmetry groupcompactifying into manifold with boundaryconformally related metricintegrals of geometric quantities over sections

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Axiomatics, foundations (70A05)

Related Items (33)

Linkages and Hamiltonians at null infinity ⋮ Extraction of gravitational waves in numerical relativity ⋮ NUT 4-momenta are forever ⋮ Compact binary coalescences: constraints on waveforms ⋮ Conservation of asymptotic charges from past to future null infinity: Maxwell fields ⋮ The Wald–Zoupas prescription for asymptotic charges at null infinity in general relativity ⋮ Asymptotic structure with vanishing cosmological constant ⋮ Asymptotic structure with a positive cosmological constant ⋮ Extensions of the asymptotic symmetry algebra of general relativity ⋮ Conserved charges in Chern-Simons modified theory and memory effects ⋮ Gravitational mass anomaly ⋮ Radiation memory, boosted Schwarzschild spacetimes and supertranslations ⋮ Conservation of asymptotic charges from past to future null infinity: supermomentum in general relativity ⋮ On the angular momentum of compact binary coalescence ⋮ General definition of “conserved quantities” in general relativity and other theories of gravity ⋮ Gluing variations ⋮ Unified treatment of null and spatial infinity. IV: Angular momentum at null and spatial infinity ⋮ Generalized first law of thermodynamics for black holes in spacetimes which are not asymptotically flat ⋮ A relation between local and total energy in general relativity ⋮ Mass and Angular Momentum in General Relativity ⋮ Kerr black holes and nonlinear radiation memory ⋮ Summary of session A4: complex and conformal methods in classical and quantum gravity ⋮ BMS current algebra in the context of the Newman–Penrose formalism ⋮ Sources of gravitational waves in asymptotically flat Einstein-Maxwell spacetime ⋮ Angular momentum of isolated systems ⋮ Quasi-local energy-momentum and angular momentum in general relativity ⋮ Einstein energy associated with the Friedmann-Robertson-Walker metric ⋮ Timelike curves of limited acceleration in general relativity ⋮ Quasi-local energy-momentum and angular momentum in gr: a review article ⋮ Conformal infinity ⋮ Conformal infinity ⋮ Asymptotic renormalization in flat space: symplectic potential and charges of electromagnetism ⋮ Angular momentum at null infinity in five dimensions

Cites Work

• Covariant Conservation Laws in General Relativity
• Zero rest-mass fields including gravitation: asymptotic behaviour
• Some Total Invariants of Asymptotically Flat Space-Times
• Asymptotic Symmetries in Gravitational Theory

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