General Relativity and Gravitation

, Volume 7, Issue 10, pp 817–838 | Cite as

Axisymmetric gravitational fields

  • C. Reina
  • A. Treves
Review Article

Abstract

In this review paper Einstein equations for axisymmetric vacuum fields are introduced in the form given by Lewis. Following Ernst they are reduced to one complex potential equation. Weyl-type, Schwarzschild, Kerr, Tomimatsu-Sato solutions, and their NUT-like generalizations are then discussed.

Keywords

Differential Geometry Gravitational Field Einstein Equation Review Paper Potential Equation 

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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • C. Reina
    • 1
  • A. Treves
    • 1
  1. 1.Istituto di Fisica dell'Università and Laboratorio di Fisica Cosmica e Tecnologie Relative del C.N.R.Milano

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