General Relativity and Gravitation

, Volume 26, Issue 1, pp 97–101 | Cite as

A class of static perfect fluid solutions

  • Walter Simon


We consider a two-parameter family of equations of state for perfect fluids which forms the limiting case of a condition employed in a uniqueness proof of static, asymptotically flat solutions of the field equations. We find a geometric interpretation of this family and determine, for each of its members, the one-parameter family of regular spherically symmetric solutions.


Field Equation Differential Geometry Geometric Interpretation Symmetric Solution Perfect Fluid 
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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Walter Simon
    • 1
  1. 1.Centre for Mathematics and its ApplicationsAustralian National UniversityCanberraAustralia

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