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Shock waves in the Newman-Penrose formalism

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Abstract

Gravitational shock waves of ordern=2 are considered and their description in radiation coordinates is discussed. It is found that in such coordinates there exist necessarily (trivial) discontinuities of first derivatives ofg μv . The structure of the propagation relation for this form of the shock wave is derived and the discontinuities of the Newman-Penrose field variables are determined.

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References

  1. Newman, E., Penrose, R.: J. Math. Phys.3, 566 (1962)

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  2. Newman, E. T., Unti, T. W. J.: J. Math. Phys.3, 891 (1962)

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  3. Papapetrou, A., Treder, H.: Math. Nachrichten20, 53 (1959)

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Authors and Affiliations

  1. Institute of Relativity Studies, Boston University, Boston

    A. Papapetrou

  2. Institut Henri Poincaré, Paris

    A. Papapetrou

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  1. A. Papapetrou
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Papapetrou, A. Shock waves in the Newman-Penrose formalism. Commun.Math. Phys. 34, 229–236 (1973). https://doi.org/10.1007/BF01645682

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  • DOI: https://doi.org/10.1007/BF01645682

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