Abstract
Assuming spherical symmetry we analyse the dynamics of an inhomogeneous dark radiation vaccum on a Randall and Sundrum 3-braneworld. Under certain natural conditions we show that the effective Einstein equations on the brane form a closed system. On a de Sitter brane and for negative dark energy density we determine exact dynamical and inhomogeneous solutions which depend on the brane cosmological constant, on the dark radiation tidal charge and on its initial configuration. We also identify the conditions leading to the formation of a singularity or of regular bounces inside the dark radiation vaccum.
Similar content being viewed by others
References
Bahcall, N.A., Ostriker, J.P., Perlmutter, S. and Steinhardt, P.J.: 1999, Science 284, 1481.
Bruni, M., Germani, C. and Maartens, R.: 1999, Phys. Rev. Lett. 87, 231302.
Dadhich, N., Maartens, R., Papadopoulos, P. and Rezania, V.: 2000, Phys. Lett. B 487, 1.
Govender, M. and Dadhich, N.: 2002, Phys. Lett. B 538, 233.
Maartens, R.: 2000, Phys. Rev. D 62, 084023.
Maartens, R.: 2001, Geometry and Dynamics of the Brane World, arXiv:gr-qc/0101059.
Neves, R. and Vaz, C.: 2002, Dark Radiation Dynamics on the Brane, arXiv:hep-th/0207173.
Randall, L. and Sundrum, R.: 1999, Phys. Rev. Lett. 83, 3370; Phys. Rev. Lett. 83, 4690.
Sasaki, M., Shiromizu, T. and Maeda, K.I.: 2000, Phys. Rev. D 62, 024008.
Shiromizu, T., Maeda, K.I. and Sasaki, M.: 2000, Phys. Rev. D 62, 024012.
Singh, T.P.: 1999, Class. Quant. Grav. 16, 3307.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Neves, R., Vaz, C. Inhomogeneous Dark Radiation Dynamics on a de Sitter Brane. Astrophysics and Space Science 283, 537–542 (2003). https://doi.org/10.1023/A:1022533524191
Issue Date:
DOI: https://doi.org/10.1023/A:1022533524191