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ID: 330089.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Gravitational fields near space-like and null infinity
Authors:Friedrich, Helmut
Date of Publication (YYYY-MM-DD):1998-01
Title of Journal:Journal of Geometry and Physics
Volume:24
Issue / Number:2
Start Page:83
End Page:163
Review Status:not specified
Abstract / Description:Near space-like infinity an initial value problem for the conformal Einstein equations is formulated such that: (i) the data and equations are regular, (ii) space-like and null infinity have a finite representation, with their structure and location known a priori, and (iii) the setting relies entirely on general properties of conformal structures.

A first analysis of this problem shows that the solutions develop in general a certain type of logarithmic singularity at the set where null infinity touches space-like infinity. These singularities form an intrinsic part of the solutions' conformal structure. Conditions on the free initial data near space-like infinity are derived which ensure that for solutions developing from these data singularities of this type cannot occur.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:DOI:10.1016/S0393-0440(97)82168-7
ISSN:0393-0440
LOCALID:5222
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