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Pseudotensors in asymptotically curvilinear coordinates

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Abstract

We show how to calculate pseudotensor-based conserved quantities for isolated systems in general relativity, in a way which allows an arbitrary asymptotic behavior of the coordinate system used. Our method is a generalization of that given by Persides [1], and allows the asymptotic evaluation of energy, momentum, and angular momentum in any coordinate system. We carry out the calculation for the Schutz-Sorkin gravitational Noether operator, which is a pseudotensorial operator on vector fields that reduces to the familiar pseudotensors for particular choices of the fields.

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Authors and Affiliations

  1. Institute of Astronomy, University of Cambridge, Cambridge, UK

    E. Nahmad-Achar

  2. Department of Applied Mathematics and Astronomy, University College, P.O. Box 78, Cardiff, UK

    B. F. Schutz

Authors
  1. E. Nahmad-Achar
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  2. B. F. Schutz
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Nahmad-Achar, E., Schutz, B.F. Pseudotensors in asymptotically curvilinear coordinates. Gen Relat Gravit 19, 655–663 (1987). https://doi.org/10.1007/BF00766272

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  • DOI: https://doi.org/10.1007/BF00766272

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