Smoothness at null infinity and the structure of initial data

2003/04/01 by Helmut Friedrich, Friedrich, Helmut · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0304003

86 pages, typo corrected and largely extended version of earlier article, to appear in the volume "50 years of the Cauchy problem in general relativity"

openalex publication_date 2003/04/01 · arxiv created 2004/03/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe our present understanding of the relations between the behaviour of asymptotically flat Cauchy data for Einstein's vacuum field equations near space-like infinity and the asymptotic behaviour of their evolution in time at null infinity.

Citations

• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Symmetric hyperbolic linear differential equations
• Universality and scaling in gravitational collapse of a massless scalar field
• Relativistic Cosmology. I

Cited by

• Controlled regularity at future null infinity from past asymptotic initial data: the wave equation

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