On purely radiative space-times
type: Item
instance of: scholarly article
title: On purely radiative space-times
zbMATH Open document ID: 0584.53038
DOI: 10.1007/BF01464281
author: Helmut Friedrich
published in: Communications in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The existence of space-times representing pure gravitational radiation which comes in from infinity and interacts with itself is discussed. They are characterized as solutions of Einstein's vacuum field equations possessing a smooth structure at past null infinity which forms the ''future null cone at past timelike infinity with complete generators.'' The ''pure radiation problem'' is analysed where ''free initial data'' for Einstein's field equations are prescribed on the null cone at past time- like infinity. It is demonstrated how the pure radiation problem can be formulated as a local initial value problem for the symmetric hyperbolic system of reduced conformal vacuum field equations. Its solutions are uniquely determined by the free data.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83C30
zbMATH DE Number: 3935914
zbMATH Keywords: gravitational radiation
zbMATH Keywords: Einstein's vacuum field equations
zbMATH Keywords: null infinity
zbMATH Keywords: time-like infinity
zbMATH Keywords: hyperbolic system
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01464281
OpenAlex ID: W1980155724
description: scientific article; zbMATH DE number 3935914