Self-Similar Asymptotic Solutions of Einstein’s Equations

  • A. A. Coley
  • R. J. van den Hoogen
Part of the NATO ASI Series book series (NSSB, volume 332)


The relationship between the existence of self-similar asymptotic solutions of Einstein’s equations and equations of state is investigated. For instance, imperfect fluid Bianchi models with ‘dimensionless’ equations of state are shown to have self-similar asymptotic solutions. Conversely, it is also shown that if the spacetime is self-similar, then the resulting equations of state must be of this same ‘dimensionless’ form. The conditions under which solutions are asymptotically self-similar are discussed, and it is noted that this is not a generic property of Einstein’s equations.


Singular Point Cosmological Model Asymptotic Limit Homogeneous Function Bianchi Type 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • A. A. Coley
    • 1
  • R. J. van den Hoogen
    • 1
  1. 1.Department of Mathematics, Statistics, and Computing ScienceDalhousie UniversityHalifaxCanada

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