Null infinity and Killing fields

DOI10.1063/1.524467zbMath0451.53047OpenAlexW2034122259MaRDI QIDQ3897669

Abhay Ashtekar

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524467

zbMATH Keywords

isometriesasymptotic flatnessEinstein's equation

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

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Null infinity, the BMS group and infrared issues, Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem, On static and radiative space-times, Stationary axisymmetric solutions and their energy contents in teleparallel equivalent of Einstein theory, Black hole formation and stability: A mathematical investigation, Groups of transformations of Riemannian manifolds, On Killing vector fields and Newman–Penrose constants, Symmetries of asymptotically flat axisymmetric space–times with null dust, Symmetries of asymptotically flat electrovacuum space–times and radiation, Asymptotically flat space-times have no conformal Killing fields, On solving Einstein's field equations in the Newman-Penrose formalism

Cites Work

• A characterization of the Bondi-Metzner-Sachs group
• Uniformly Accelerating Charged Mass in General Relativity
• Some spherical gravitational waves in general relativity
• Isometries compatible with asymptotic flatness at null infinity: A complete description
• A technique for analyzing the structure of isometries
• Zero rest-mass fields including gravitation: asymptotic behaviour
• ‘Newtonian’ Time in General Relativity