# (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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## References

SHOWING 1-2 OF 2 REFERENCES

### Astrophys

- J. 513, 1
- 1999

### and D

- Wands, astro-ph/0107245
- 2001