(1+3) covariant dynamics of scalar perturbations in brane worlds

@article{Leong200113CD,
  title={(1+3) covariant dynamics of scalar perturbations in brane worlds},
  author={Bernard Leong and Peter Dunsby and Anthony Challinor and Anthony Lasenby},
  journal={Physical Review D},
  year={2001},
  volume={65},
  pages={104012}
}
We discuss the dynamics of linear, scalar perturbations in an almost Friedmann-Robertson-Walker braneworld cosmology of Randall-Sundrum type II using the 1+3 covariant approach. We derive a complete set of frame-independent equations for the total matter variables, and a partial set of equations for the non-local variables which arise from the projection of the Weyl tensor in the bulk. The latter equations are incomplete since there is no propagation equation for the non-local anisotropic… 

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