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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)

Abstract

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.

Keywords

Singular Point Cosmological Model Asymptotic Limit Homogeneous Function Bianchi Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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