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Gravitational field with toroidal topology

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Abstract

The Weyl formalism for static, axially symmetric solutions to Einstein's equations is employed to examine solutions of Einstein's equations with toroidal topology. We investigate a particular family of solutions that contain the Schwarzschild, Curzon, Bach-Weyl, andγ metric (also known as the Zipoy-Voorhees metric) as special cases.

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Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, University of Cincinnati, 45221, Cincinnati, Ohio

    B. W. Stewart

  2. Department of Physics, University of Cincinnati, 45221, Cincinnati, Ohio

    Louis Witten

  3. Department of Astronomy, University of Thessaloniki, Thessaloniki, Greece

    Demetrios Papadopoulos

Authors
  1. B. W. Stewart
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  2. Louis Witten
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  3. Demetrios Papadopoulos
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Stewart, B.W., Witten, L. & Papadopoulos, D. Gravitational field with toroidal topology. Gen Relat Gravit 19, 827–839 (1987). https://doi.org/10.1007/BF00768217

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  • DOI: https://doi.org/10.1007/BF00768217

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