Braneworld cosmological models with anisotropy
Abstract
For a cosmological Randall-Sundrum braneworld with anisotropy, i.e., of Bianchi type, the modified Einstein equations on the brane include components of the five-dimensional Weyl tensor for which there are no evolution equations on the brane. If the bulk field equations are not solved, this Weyl term remains unknown, and many previous studies have simply prescribed it as ad hoc. We construct a family of Bianchi braneworlds with anisotropy by solving the five-dimensional field equations in the bulk. We analyze the cosmological dynamics on the brane, including the Weyl term, and shed light on the relation between anisotropy on the brane and the Weyl curvature in the bulk. In these models, it is not possible to achieve geometric anisotropy for a perfect fluid or scalar field—the junction conditions require anisotropic stress on the brane. But the solutions can isotropize and approach a Friedmann brane in an anti de Sitter bulk.
- Publication:
-
Physical Review D
- Pub Date:
- November 2003
- DOI:
- 10.1103/PhysRevD.68.103520
- arXiv:
- arXiv:hep-th/0308158
- Bibcode:
- 2003PhRvD..68j3520C
- Keywords:
-
- 98.80.Jk;
- 04.50.+h;
- 98.80.Cq;
- Mathematical and relativistic aspects of cosmology;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- Particle-theory and field-theory models of the early Universe;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 9 pages, 1 figure, RevTeX 4.0