Pseudotensors in Asymptotically Curvilinear Coordinates

Nahmad-Achar, E.; Schutz, Bernard F.

doi:10.1007/BF00766272

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Pseudotensors in Asymptotically Curvilinear Coordinates

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Schutz, Bernard F.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
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Citation

Nahmad-Achar, E., & Schutz, B. F. (1987). Pseudotensors in Asymptotically Curvilinear Coordinates. General Relativity and Gravitation, 19(7), 655-663. doi:10.1007/BF00766272.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-0F72-6

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.