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Cosmology and brane worlds: a review

REVIEW ARTICLE

Philippe Brax1 and Carsten van de Bruck2,3

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TOPICAL REVIEW

Cosmological consequences of the brane world scenario are reviewed in a pedagogical manner. According to the brane world idea, the standard model particles are confined on a hypersurface (a so-called brane), which is embedded in a higher-dimensional spacetime (the so-called bulk). We begin our review with the simplest consistent brane world model: a single brane embedded in a five-dimensional anti-de Sitter spacetime. Then we include a scalar field in the bulk and discuss in detail the difference with the anti-de Sitter case. The geometry of the bulk spacetime is also analysed in some depth. Finally, we investigate the cosmology of a system with two branes and a bulk scalar field. We comment on brane collisions and summarize some open problems of brane world cosmology.


PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

12.10.-g Unified field theories and models

11.10.Kk Field theories in dimensions other than four

11.25.Wx String and brane phenomenology

04.20.Gz Spacetime topology, causal structure, spinor structure

98.80.Jk Mathematical and relativistic aspects of cosmology

MSC

83F05 Cosmology

14J70 Hypersurfaces

83E30 String and superstring theories (See also 81T30)

85A40 Cosmology (For relativistic cosmology, see 83F05)

83C75 Space-time singularities, cosmic censorship, etc.

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 9 (7 May 2003)

Received 10 February 2003

Published 14 April 2003



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