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Conformally flat space-times of locally constant connection. I

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Abstract

Conformally flat space-times of locally constant connection are studied. The constant connection defines a global vector field which is assumed timelike. The general solution of the geodesic equations is presented and several theorems characterizing the geometry of such space-times are proved.

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References

  • Antonelli, P. L. (1983). Huxleys allometric space and idealized coral reefs, to appear in proceedings of the Conference on Geometric Methods in Mathematical Biology, University of Alberta.

  • Antonelli, P. L., and Voorhees, B. H. (1975). Unpublished lectures at Canadian Mathematics Congress Summer School in Mathematical Biology, Sherebrooke.

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  • Voorhees, B. H. (1983). Solving geodesic equations in spaces of locally constant connection, to appear in proceedings of the Conference on Geometric Methods in Mathematical Biology, University of Alberta.

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Supported by NSERC A-7667 to P. L. Antonelli.

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Voorhees, B.H. Conformally flat space-times of locally constant connection. I. Int J Theor Phys 22, 251–260 (1983). https://doi.org/10.1007/BF02086249

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  • DOI: https://doi.org/10.1007/BF02086249

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