• Corpus ID: 116955104

Perfect fluid brane world model

@article{BouhmadiLpez2001PerfectFB,
  title={Perfect fluid brane world model},
  author={Mariam Bouhmadi-L{\'o}pez and P. F. Gonz{\'a}lez-D{\'i}az and Alexander Zhuk},
  journal={arXiv: High Energy Physics - Theory},
  year={2001}
}

• M. Bouhmadi-López, P. González-Díaz, A. Zhuk
• Published 30 November 2001
• Physics
• arXiv: High Energy Physics - Theory

AbstractBy considering 5–dimensional cosmological models with a bulk filled with a perfect fluid and a cosmologicalconstant, we have found regular instantonic solution which is free from any singularity at the origin of the extra–coordinate and describe 5–dimensional asymptotically anti de Sitter wormhole, when the bulk has a topologyR×S 4 and is filled with dust and a negative cosmological constant. Compactified brane-world instantons whichare built up from such instantonic solution describe either a single brane or a string of branes. Their analyticalcontinuation to the pseudo–Riemannian metric can give rise to either 4-dimensional inflating branes or solutionswith the same dynamical behaviour for extra–dimension and branes, in addition to multitemporal solutions.Dust brane-world models with other spatial topologies are also considered.PACS number(s): 04.50.+h, 98.80.Hw 1 Introduction Although higher dimensional cosmological models can be traced back to the first years of gravitation theory, theidea has received a renewed great attention in the last few years, due to the publication of pioneering papers onbrane and extra-dimension models which shed light for the solution of fundamental physical problems includingthe extra-dimension compactification and the hierarchy problem. Extra-dimensions can be compactified, as inthe standard Kaluza-Klein theory [1], or not, as was firstly suggested by Akama [2], Rubakov and Shaposhnikov[3] and others [4]. While Akama [2] considered the universe as a four vortex-like object embedded in a 6–dimensional flat space-time, Rubakov and Shaposhnikov proposed a model in (1+N)–dimensional Minkowskispace-time (N≥ 4) where particles were confined in a potential well, flat on the usual three spatial dimensionsand narrow along the extra-dimensions. Gravity was later on included in 5–dimensional manifolds [4] in orderto trap particles near a 4–dimensional Lorentzian submanifolds.More recently, a model was proposed [5] on (4+N)–dimensions with N≥ 2, where the extra-dimensions arecompact and their size, R, is deduced by imposing that the usual Planck scale, M