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Equivalence of the Regge and Einstein equations using Cartan's moment of rotation

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Abstract

An explicit derivation of the Einstein tensor via Cartan's moment of rotation on an infinitesimal lattice is presented. With the standard form of the Einstein equations assumed, the equivalence of the Regge equations with matter to the Einstein equations is demonstrated in detail using a spherically symmetric example with proper time slicing. Such an example has been numerically evolved to withinr=2M using null struts. These results make Regge calculus more readily applicable and provide a justification for its use.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of New Mexico, 87131, Albuquerque, New Mexico

    Bruce M. Kemmell

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  1. Bruce M. Kemmell
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Kemmell, B.M. Equivalence of the Regge and Einstein equations using Cartan's moment of rotation. Int J Theor Phys 33, 1699–1709 (1994). https://doi.org/10.1007/BF00672694

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  • DOI: https://doi.org/10.1007/BF00672694

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