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 |
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| creator | YURTSEVER, U |
| description | 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. |
| doi_str_mv | 10.1103/PhysRevD.40.329 |
| format | Article |
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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. 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| ispartof | Phys. Rev. D; (United States), 1989-07, Vol.40 (2), p.329-359 |
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| source | American Physical Society Journals |
| subjects | 645400 - High Energy Physics- Field Theory 657003 - Theoretical & Mathematical Physics- Relativity & Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical general relativity DIFFERENTIAL EQUATIONS EINSTEIN FIELD EQUATIONS EQUATIONS Exact sciences and technology FIELD EQUATIONS General relativity and gravitation GRAVITATIONAL WAVES MATHEMATICAL SPACE METRICS MINKOWSKI SPACE PARTIAL DIFFERENTIAL EQUATIONS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS POLARIZATION SINGULARITY SPACE SPACE-TIME WAVE EQUATIONS |
| title | Singularities and horizons in the collisions of gravitational waves |
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