Conformal Infinity – Development and Applications

DOI10.1007/978-1-4939-7708-6_16zbMath1402.83006OpenAlexW2808840956MaRDI QIDQ4557068

Jörg Frauendiener

Publication date: 29 November 2018

Published in: Einstein Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-7708-6_16

zbMATH Keywords

gravitational wavesconformal infinityEinstein's theory of gravitationPirani

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Applications of differential geometry to physics (53Z05) Gravitational waves (83C35) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) History of relativity and gravitational theory (83-03)

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Asymptotic shear and the intrinsic conformal geometry of null-infinity

Cites Work

• A spinor approach to general relativity
• On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
• On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations
• Gravitational fields near space-like and null infinity
• Conformal geodesics on vacuum space-times
• The central programme of twistor theory
• Global existence for the Einstein vacuum equations in wave coordinates
• Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
• On gravitational waves
• Invariant Formulation of Gravitational Radiation Theory
• Plane Gravitational Waves in General Relativity
• Boundary Conditions at Infinity for Physical Theories
• Radiation and Boundary Conditions in the Theory of Gravitation
• Gravitational waves in general relativity III. Exact plane waves
• Some Properties of Empty Space-Time
• Gravitational waves in general relativity. VI. The outgoing radiation condition
• New Approach to the Einstein and Maxwell-Einstein Field Equations
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• On extracting physical content from asymptotically flat spacetime metrics
• Existence of radiating Einstein-Maxwell solutions which are C ^∞ on all of I ⁺ and I ^$
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• Geometric description of energy-momentum pseudotensors
• Peeling properties of asymptotically flat solutions to the Einstein vacuum equations
• Nonlinear nature of gravitation and gravitational-wave experiments
• Existence of non-trivial, vacuum, asymptotically simple spacetimes
• Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations: III. On the determination of radiation
• Zero rest-mass fields including gravitation: asymptotic behaviour
• Analysis of the Newman-Unti Integration Procedure for Asymptotically Flat Space-Times
• Behavior of Asymptotically Flat Empty Spaces
• Asymptotic Symmetries in Gravitational Theory
• Gravitational Motion
• Conformal infinity
• Empty space-times admitting a three parameter group of motions
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations
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