General Relativity and Gravitation

, Volume 19, Issue 8, pp 827–839 | Cite as

Gravitational field with toroidal topology

  • B. W. Stewart
  • Louis Witten
  • Demetrios Papadopoulos
Research Articles

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.

Keywords

Differential Geometry Gravitational Field Symmetric Solution Weyl Formalism 

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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • B. W. Stewart
    • 1
  • Louis Witten
    • 2
  • Demetrios Papadopoulos
    • 3
  1. 1.Department of Mechanical and Industrial EngineeringUniversity of CincinnatiCincinnati
  2. 2.Department of PhysicsUniversity of CincinnatiCincinnati
  3. 3.Department of AstronomyUniversity of ThessalonikiThessalonikiGreece

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