Gravitational field with toroidal topology |
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| Authors: | B. W. Stewart Louis Witten Demetrios Papadopoulos |
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| Affiliation: | (1) Department of Mechanical and Industrial Engineering, University of Cincinnati, 45221 Cincinnati, Ohio;(2) Department of Physics, University of Cincinnati, 45221 Cincinnati, Ohio;(3) Department of Astronomy, University of Thessaloniki, Thessaloniki, Greece |
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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, and metric (also known as the Zipoy-Voorhees metric) as special cases. |
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