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Conformal infinity (Q5915429)

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scientific article; zbMATH DE number 1522346

Language	Label	Description	Also known as
English	Conformal infinity	scientific article; zbMATH DE number 1522346

Statements

scholarly article

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Conformal infinity (English)

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zbMATH Open document ID

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10.12942/lrr-2000-4

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Jörg Frauendiener

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Living Reviews in Relativity

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publication date

30 November 2000

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full work available at URL

http://www.livingreviews.org/lrr-2000-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

conformal infinity

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Einstein's theory of gravity

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gravitational radiation

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null-infinity

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numerical relativity

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MaRDI profile type

MaRDI publication profile

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Einstein and Yang-Mills Theories in Hyperbolic Form without Gauge Fixing

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Hyperboloidal Cauchy data for vacuum Einstein equations and obstructions to smoothness of null infinity

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On ``hyperboloidal'' Cauchy data for vacuum Einstein equations and obstructions to smoothness of Scri

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On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations

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Spatial infinity as a boundary of spacetime

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Isometries compatible with asymptotic flatness at null infinity: A complete description

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Numerical integration of Einstein’s field equations

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Integration of Einstein’s equations near spatial infinity

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Einstein's equations near spatial infinity

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Proof of a multiple conjecture due to Geroch

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Spectral methods in general relativistic astrophysics

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Gravitational waves in general relativity III. Exact plane waves

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Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system

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The formation of black holes and singularities in spherically symmetric gravitational collapse

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Gravitational waves in general relativity XIV. Bondi expansions and the ‘polyhomogeneity’ of ℐ

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Existence of radiating Einstein-Maxwell solutions which are C <sup>∞</sup> on all of I <sup>+</sup> and I <sup>$</sup>

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Analysis of the Newman-Unti Integration Procedure for Asymptotically Flat Space-Times

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Absorbing Boundary Conditions for the Numerical Simulation of Waves

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Geometric description of energy-momentum pseudotensors

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Calculating initial data for the conformal Einstein equations by pseudo-spectral methods

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Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations: III. On the determination of radiation

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Linkages in general relativity

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The asymptotic characteristic initial value problem for Einstein’s vacuum field equations as an initial value problem for a first-order quasilinear symmetric hyperbolic system

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On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations

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On the existence of analytic null asymptotically flat solutions of Einstein’s vacuum field equations

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Cauchy problems for the conformal vacuum field equations in general relativity

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On the hyperbolicity of Einstein's and other gauge field equations

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On purely radiative space-times

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On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure

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On static and radiative space-times

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On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations

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Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times

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Hyperbolic reductions for Einstein's equations

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Gravitational fields near space-like and null infinity

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Bondi-type systems near spacelike infinity and the calculation of the Newman–Penrose constants

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The initial boundary value problem for Einstein's vacuum field equation

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Conformal geodesics in general relativity

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On the Newtonian limit of general relativity

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Local Characterization of Singularities in General Relativity

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Multipole Moments. I. Flat Space

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Multipole Moments. II. Curved Space

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A space-time calculus based on pairs of null directions

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Invariant Transformations and Newman‐Penrose Constants

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Multipole moments of stationary space-times

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The Large Scale Structure of Space-Time

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General relativistic scalar-field models and asymptotic flatness

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More about vacuum spacetimes with toroidal null infinities

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How to avoid artificial boundaries in the numerical calculation of black hole spacetimes

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A scheme to numerically evolve data for the conformal Einstein equation

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Asymptotically hyperbolic non-constant mean curvature solutions of the Einstein constraint equations

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Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant

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On the existence of <i>C</i> <sup>∞</sup> solutions to the asymptotic characteristic initial value problem in general relativity

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Gravitational waves in general relativity I. Cylindrical waves

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V. An exact spherical wave

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Representations of the Bondi—Metzner—Sachs group I. Determination of the representations

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Structure of the Bondi-Metzner-Sachs Group

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Representations of the Bondi-Metzner-Sachs group - II. Properties and classification of the representations

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Conformal invariance and conservation laws for relativistic wave equations for zero rest mass

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An Approach to Gravitational Radiation by a Method of Spin Coefficients

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Behavior of Asymptotically Flat Empty Spaces

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The global structure of simple space-times

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A spinor approach to general relativity

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Zero rest-mass fields including gravitation: asymptotic behaviour

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Nonlinear gravitons and curved twistor theory

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Null hypersurface initial data for classical fields of arbitrary spin and for general relativity

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The central programme of twistor theory

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Invariant Formulation of Gravitational Radiation Theory

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Gravitational waves in general relativity. IV. The gravitational field of a fast-moving particle

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Local and global existence theorems for the Einstein equations

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Gravitational waves in general relativity. VI. The outgoing radiation condition

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Asymptotic Symmetries in Gravitational Theory

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Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time

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Structure of Particles in Linearized Gravitational Theory

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A new definition of conformal and projective infinity of space-times

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On the uniqueness of boundaries at infinity of asymptotically flat spacetimes

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Vacuum spacetimes with toroidal null infinities

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The multipole structure of stationary space-times

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Boundary Conditions at Infinity for Physical Theories

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Radiation and Boundary Conditions in the Theory of Gravitation

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Group Velocity in Finite Difference Schemes

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Conserved quantities for polyhomogeneous spacetimes

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Logarithmic Newman-Penrose constants for arbitrary polyhomogeneous spacetimes

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General Relativity

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Characteristic evolution and matching

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Sitelinks

Mathematics(1 entry)

mardi Publication:5915429

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