Mathematics – Mathematical Physics
Scientific paper
Nov 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995lmaph..35..277h&link_type=abstract
Letters in Mathematical Physics, Volume 35, Issue 3, pp.277-280
Mathematics
Mathematical Physics
1
83C05, 83C35
Scientific paper
A solution of Einstein's vacuum field equations is constructed describing an imploding spherical impulsive gravitational wave followed by an exploding similar wave. The two waves propagate in Minkowskian spacetime and the history of the process is the past and future sheets of the null-cone of an event (taken as origin) in the spacetime. The solution is a superposition of two of Penrose's impulsive wave solutions and is described in a single coordinate system in which the metric tensor components are continuous across the histories of the wave fronts.
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