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General Relativity and Gravitation

, Volume 37, Issue 2, pp 257–269 | Cite as

From 2-dimensional surfaces to cosmological solutions

  • A. Szereszewski
  • J. Tafel
Research Article
  • 51 Downloads

Abstract

We construct perfect fluid metrics with two symmetries by means of a recently developed geometrical method [1]. The Einstein equations are reduced to a single equation for a conformal factor. Under additional assumptions we obtain new cosmological solutions of Bianchi type II, VI 0 and VII 0 . The solutions depend on an arbitrary function of time, which can be specified in order to satisfy an equation of state.

Keywords

Einstein equations Cosmological solutions Surfaces 

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Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.Institute of Theoretical PhysicsWarsaw UniversityWarsawPoland

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