Mathematics – Mathematical Physics
Scientific paper
Dec 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cmaph..79..581a&link_type=abstract
Communications in Mathematical Physics, Volume 79, Issue 4, pp.581-599
Mathematics
Mathematical Physics
36
Scientific paper
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.
Ashtekar Abhay
Dray Tevian
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