A Class of Collisions of Plane Impulsive Light--Like Signals in General Relativity

Details A Class of Collisions of Plane Impulsive Light--Like Signals in General Relativity A Class of Collisions of Plane Impulsive Light--Like Signals in General Relativity

2002-09-30

arxiv.org/abs/gr-qc/0209112v1

Int.J.Mod.Phys. D11 (2002) 933-945

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, lateX

Scientific paper

10.1142/S0218271802002116

We present a systematic study of collisions of homogeneous, plane--fronted, impulsive light--like signals which do not interact after head--on collision. For the head--on collision of two such signals, six real parameters are involved, three from each of the incoming signals. We find two necessary conditions to be satisfied by these six parameters for the signals to be non--interacting after collision. We then solve the collision problem in general when these necessary conditions hold. After collision the two signals focus each other at Weyl curvature singularities on each others signal front. Our family of solutions contains some known collision solutions as special cases.

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