General Relativity and Gravitation

, Volume 23, Issue 4, pp 477–486 | Cite as

Reduction of Einstein's field equations for twisting typeN-vacuum fields with anH2

  • Eduard Herlt
Research Articles


The problem of vacuum typeN solutions of Einstein's field equations with Killing vector and homothetic group can be reduced to a single ordinary differential equation of the third order for a single real function. Hauser's solution [4] is an exceptional case. If the homothetic parameterN takes the valueN=2 the third order differential equation becomes surprisingly simple. This caseN=2 is therefore the most promising one for the search of exact solutions.


Differential Equation Exact Solution Ordinary Differential Equation Field Equation Differential Geometry 
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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Eduard Herlt
    • 1
  1. 1.Theoretisch-Physikalisches InstitutFriedrich-Schiller-Universität JenaJenaGermany

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