The Kasner Solution

  • Maurizio Gasperini
Part of the Undergraduate Lecture Notes in Physics book series (ULNP)


Derivation and discussion of an exact solution of the Einstein equations which is anisotropic but admits spatial translations as its intrinsic symmetry group. Such a geometry has important applications in the context of primordial cosmology and of models of fundamental interactions formulated in higher-dimensional space–times.


Einstein Equation Perfect Fluid Spatial Direction Riemann Tensor Spatial Geometry 
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  1. 47.
    Ryan, M.P., Shepley, L.C.: Homogeneous Relativistic Cosmologies. Princeton University Press, Princeton (1975) Google Scholar
  2. 57.
    Zel’dovich, Y.B., Novikov, I.D.: Relativistic Astrophysics, Vol. II. Chicago Press, Chicago (1983) Google Scholar

Copyright information

© Springer-Verlag Italia 2013

Authors and Affiliations

  • Maurizio Gasperini
    • 1
  1. 1.Department of PhysicsUniversity of BariBariItaly

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