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A new exact solution for colliding gravitational plane waves - MaRDI portal

A new exact solution for colliding gravitational plane waves (Q1087164)

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scientific article; zbMATH DE number 3988201
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English
A new exact solution for colliding gravitational plane waves
scientific article; zbMATH DE number 3988201

    Statements

    A new exact solution for colliding gravitational plane waves (English)
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    1987
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    A new exact solution of the vacuum Einstein equations describing the spacetime following the collision of two plane impulsive gravitational waves, each supporting a plane gravitational wave, is obtained. The solution has been extended prior to the instant of collision and the main features of the resulting spacetime have been analyzed, using the Newman- Penrose formalism. It is shown that the result of the collision is the development of a singularity of the spacetime due to the simultaneous focussing of the two plane waves.
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    plane waves
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    vacuum Einstein equations
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    gravitational waves
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    Newman- Penrose formalism
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    singularity
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