On the existence of solutions to Einstein's equation with non-zero Bondi news

Abhay Ashtekar, Tevian Dray

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

It is shown that the C-metric (with parameters chosen to lie in suitable intervals) admits a conformal completion such that the space of generators of null infinity, ℐ, is a 2-sphere. This structure of ℐ is both necessary and sufficient for the analysis of gravitational radiation in exact general relativity. Bondi news (as well as the electromagnetic radiation field, in the charget case) is examined and found to be non-zero. Thus the issue of existence of exact solutions to the Einstein (and Einstein-Maxwell) equations admitting radiation (in the sense of Bondi, Sachs, and Penrose) is resolved. In addition, the analysis clarifies the sense in which the vacuum C-metric represents the gravitational field of two accelerating black-holes.

Original languageEnglish (US)
Pages (from-to)581-599
Number of pages19
JournalCommunications In Mathematical Physics
Volume79
Issue number4
DOIs
StatePublished - Dec 1 1981

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news
Einstein Equations
Einstein equations
Maxwell equation
radiation distribution
gravitational waves
infinity
gravitational fields
relativity
Existence of Solutions
electromagnetic radiation
generators
Radiation
intervals
vacuum
Albert Einstein
radiation
Metric
Gravitational Field
General Relativity

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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On the existence of solutions to Einstein's equation with non-zero Bondi news. / Ashtekar, Abhay; Dray, Tevian.

In: Communications In Mathematical Physics, Vol. 79, No. 4, 01.12.1981, p. 581-599.

Research output: Contribution to journalArticle

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