Skip to main content
Log in

Cosmological perturbations of an expanding brane in an anti-de Sitter bulk : a short review

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

Since the Randall-Sundrum 1999 papers, braneworlds have been a favourite playground to test string inspired cosmological models. The subject has developped into two main directions: elaborating more complex models in order to strenghten the connection with string theories, and trying to confront them with observations, in particular the Cosmic Microwave Background anisotropies. We review here the latter and see that, even in the simple, `paradigmatic', case of a single expanding brane in a 5D anti-de Sitter bulk, there is still a missing link between the `view from the brane' and the `view from the bulk' which prevents definite predictions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ashcroft, P.R., van de Bruck, C. and Davis, A.C.: Suppression of entropy perturbations in multi-field inflation on the brane, hep-th/0208411.

  • Barrow, J.D. and Maartens, R.: Kaluza-Klein anisotropy in the CMB, gr-qc/0108073.

  • Binétruy, P., Deffayet, C. and Langlois, D.: a, Non conventional cosmology from a brane universe, hep-th/9905012.

  • Binétruy, P., Deffayet, C., Ellwanger, U. and Langlois, D.: b, Brane cosmological evolution on a bulk with a cosmological constant, hep-th/9910219.

  • Bridgman, H., Malik, K. and Wands, D.: a, Cosmic vorticity on the brane, hep-th/0010133.

  • Bridgman, H., Malik, K. and Wands, D.: b, Cosmological perturbations in the bulk and on the brane, astro-ph/0107245.

  • van de Bruck, C. and Dorca, M.: On cosmological perturbations on a brane in an anti-de Sitter bulk, hep-th/0012073.

  • van de Bruck, C., Dorca, M., Brandenberger, R. and Lukas, A.: Cosmological perturbations in brane world theories: Formalism, hep-th/0005032.

  • Copeland, E., Liddle, A. and Lidsey, J.: Steep inflation: Ending braneworld inflation by gravitational particle production, astro-ph/0006421.

  • Deffayet, C.: On brane world cosmological perturbations, hep-th/0205084.

  • Deruelle, N. and Dolezel, T.: Brane vs shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories, gr-qc/0004021.

  • Deruelle, N. and Katz, J.: Gravity on branes, gr-qc/0104007.

  • Deruelle, N., Dolezel, T. and Katz, J.: Perturbations of braneworlds, hep-th/0010215.

  • Dorca, M. and van de Bruck, C.: Cosmological perturbations in brane worlds: Brane bending and anisotropic stresses, hep-th/0012116.

  • Garriga, J. and Tanaka, T.: Gravity in the Randall-Sundrum brane world, hep-th/9911 055.

  • Gorbunov, D.S., Rubakov, V.A. and Sibiryakov, S.M.: Gravity waves from inflating brane or mirrors moving in ads5, hep-th/0108017.

  • Gordon, C. and Maartens, R.: Density perturbations in the brane-world, hep-th/0009010.

  • Huey, G. and Lidsey, J.: Inflation, braneworlds and quintessence, astro-ph/0104006.

  • Ida, D.: Brane world cosmology, gr-qc/9912002.

  • Kodama, H.: Behavior of cosmological perturbations in the brane world model, hep-th/0012132.

  • Kodama, H., Ishibashi, A. and Seto, O.: Brane-world cosmology, gauge invariant formalism for perturbation, hep-th/0004160.

  • Koyama, K. and Soda, J.: a, Evolution of cosmological perturbations in the brane world, hepth/0005239.

  • Koyama, K. and Soda, J.: b, Bulk gravitational field and cosmological perturbations on the brane, hep-th/0108003.

  • Langlois, D.: a, Brane cosmological perturbations, hep-th/0005025.

  • Langlois, D.: b, Evolution of cosmological perturbations in a brane-universe, hep-th/0010063.

  • Langlois, D., Maartens, R. and Wands, D.: a, Gravitational waves from inflation on the brane, hepth/0006007.

  • Langlois, D., Maartens, R., Sasaki, M. and Wands, D.: b, Large-scale cosmological perturbations on the brane, hep-th/0012044.

  • Leong, B., Dunsby, P., Challinor, A. and Lasenby, A.: a, 1+3 covariant dynamics of scalar perturbations in braneworlds, gr-qc/0111033.

  • Leong, B., Challinor, A., Maartens, R. and Lasenby, A.: b, Braneworld tensor anisotropies in the CMB, astro-ph/0208015.

  • Liddle, A. and Taylor, A.N.: Inflaton potential reconstruction in the braneworld scenario, astroph/0109412.

  • Maartens, R.: a, Cosmological dynamics on the brane, hep-th/0004166.

  • Maartens, R.: b, Geometry and dynamics of the brane-world, gr-qc/0101059.

  • Maartens, R., Wands, D., Bassett, B. and Heard, I.: Chaotic inflation on the brane, hep-th/9912464.

  • Mukohyama, S.: a, Gauge invariant gravitational perturbations of maximaly symmetric spacetimes, hep-th/0004067.

  • Mukohyama, S.: b, Perturbation of junction condition and doubly gauge invariant variables, hepth/0006146.

  • Mukohyama, S.: c, Integro-differential equation for brane-world cosmological perturbations, hepth/0104185.

  • Mukohyama, S.: d, Doubly-gauge-invariant formalism of brane-world cosmological perturbations, hep-th/0202100.

  • Mukohyama, S., Shiromizu, T. and Maeda, K.: Global structure of exact cosmological solutions in the brane world, hep-th/9912287.

  • Randall, L. and Sundrum, R.: A large mass hierarchy from small extra dimension, hep-th/9905221; An alternative to compactification, hep-th/9906064.

  • Riazuelo, A., Vernizzi, F., Steer, D. and Durrer, R.: Gauge invariant cosmological perturbation theory for braneworlds, hep-th/0205220.

  • Sasaki, M., Shiromizu, T. and Maeda, K.: Gravity, stability and energy conservation on the Randall Sundrum brane world, hep-th/9912233.

  • Shiromizu, T., Maeda, K. and Sasaki, M.: The Einstein equations on the 3-brane world, grqc/9910076.

  • Soda, J. and Koyama, K.: Cosmological perturbations in brane world, hep-th/0205208.

  • Wands, D.: String-inspired cosmology, hep-th/0203107.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deruelle, N. Cosmological perturbations of an expanding brane in an anti-de Sitter bulk : a short review. Astrophysics and Space Science 283, 619–626 (2003). https://doi.org/10.1023/A:1022539004144

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022539004144

Keywords

Navigation