Physics
Scientific paper
Jan 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvl..70..117h&link_type=abstract
Physical Review Letters (ISSN 0031-9007), vol. 70, no. 2, p. 117, 118.
Physics
16
Delta Function, Dirac Equation, Einstein Equations, Gravity Waves, Space-Time Functions, Wave Fronts, Coordinate Transformations, Impulses, Relativistic Theory
Scientific paper
An exact solution of Einstein's vacuum field equations describing a spherical-fronted impulsive gravity wave is given in a coordinate system in which the metric tensor is continuous across the history of the wave front in Minkowskian space-time. A coordinate transformation is presented which reduces the line element to Minkowskian form in the future of the null cone and enables us to demonstrate how the solution has been constructed using the Penrose procedure of subdividing flat space-time into two halves with the future null cone as boundary and then reattaching the halves with a warp.
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