Singularities and horizons in the collisions of gravitational waves

It is well known that when gravitational plane waves propagating andcolliding in an otherwise flat background interact they produce singularities.In this paper we explore the structure of the singularities produced in thecollisions of arbitrarily polarized gravitational plane waves and we considerth...

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Veröffentlicht in:Phys. Rev. D; (United States) 1989-07, Vol.40 (2), p.329-359
1. Verfasser: YURTSEVER, U
Format: Artikel
Sprache:eng
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Zusammenfassung:It is well known that when gravitational plane waves propagating andcolliding in an otherwise flat background interact they produce singularities.In this paper we explore the structure of the singularities produced in thecollisions of arbitrarily polarized gravitational plane waves and we considerthe problem of whether (or under what conditions) singularities can be producedin the collisions of /ital almost/-/ital plane/ gravitational waves with finitebut very large transverse sizes. First we analyze the asymptotic structure of ageneral arbitrarily polarized colliding plane-wave spacetime near itssingularity. We show that the metric is asymptotic to a generalizedinhomogeneous-Kasner solution as the singularity is approached. In general, theasymptotic Kasner axes as well as the asymptotic Kasner exponents along thesingularity are functions of the spatial coordinate that runs tangentially tothe singularity in the non-plane-symmetric direction.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.40.329