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The nonlinear graviton: Superposition of plane waves

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Abstract

The nonlinear graviton construction of Penrose is given explicitly for the nonlinear superposition of a finite number of plane waves with arbitrary propagation directions, phase, and amplitude profiles. These are realized as generalizedH-spaces for which the asymptotic data are distributional and have singular support on a finite number of null generators ofI +.

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References

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania

    John R. Porter

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  1. John R. Porter
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Porter, J.R. The nonlinear graviton: Superposition of plane waves. Gen Relat Gravit 14, 1023–1033 (1982). https://doi.org/10.1007/BF00756284

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  • DOI: https://doi.org/10.1007/BF00756284

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