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A new approach to Einstein-Petrov type i spaces

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Abstract

The structure of the completely integrable system of the Einstein-Petrov type I equations (recently derived by Brans) is investigated. By introducing a modification to the Newman-Penrose tetrad formalism, not only is the complete system obtained very easily and presented very concisely, but it is possible to obtain a set of identities which give explicitly the considerable redundancy within the complete system. This redundancy is exploited to identify a very compact subsystem of the complete system which arises very naturally in the new formalism, and which is of a different (in some senses, simpler) structure than the usual presentations for these spaces. The usefulness of this new subsystem in the search for exact solutions is demonstrated.

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References

  • Brans, C. H. (1977).Journal of Mathematical Physics,18, 1378.

    Google Scholar 

  • Edgar, S. B. (1978). “The structure of tetrad formalisms in General Relativity; the general case.” Preprint, to be published inGeneral Relativity and Gravitation.

  • Geroch, R., Held, A., and Penrose, R. (1973).Journal of Mathematical Physics,14, 874.

    Google Scholar 

  • Newman, E. T., and Penrose, R. (1962).Journal of Mathematical Physics,3, 566.

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  • Papapetrou, A. (1970).Annals Institut Henri Poincaré,13, 271.

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  • Papapetrou, A. (1971a).Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences,272, 1537.

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  • Papapetrou, A. (1971b).Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences,272, 1613.

    Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, University of Cape Coast, Cape Coast, Ghana

    S. B. Edgar

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  1. S. B. Edgar
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Edgar, S.B. A new approach to Einstein-Petrov type i spaces. Int J Theor Phys 18, 251–270 (1979). https://doi.org/10.1007/BF00671762

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  • DOI: https://doi.org/10.1007/BF00671762

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