Relativistic approach to nonlinear peculiar velocities and the Zeldovich approximation

  title={Relativistic approach to nonlinear peculiar velocities and the Zeldovich approximation},
  author={George F R Ellis and Christos G. Tsagas},
  journal={Physical Review D},
We study the peculiar motion of nonrelativistic matter in a fully covariant way. The exact nonlinear equations are derived and then applied to the case of pressure-free matter, moving relatively to a quasi-Newtonian Eulerian frame. Our two-frame formalism facilitates the study of the nonlinear kinematics of the matter, as the latter decouples from the background expansion and starts to ``turn around'' and collapse. Applied to second perturbative order, our equations provide a fully covariant… 

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