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Brane World Cosmology

  • Part III Braneworlds, Loop Quantum Cosmology
  • Chapter
  • First Online:
The Early Universe and Observational Cosmology

Part of the book series: Lecture Notes in Physics ((LNP,volume 646))

Abstract

We first give an overview of several brane models, and show how to deal with a higher-dimensional brane world scenario. We then discuss one formalism in detail, which is the four-dimensional (4D) effective approach. It is applied to the case where gravity is confined in the brane. We then present the effective equations to describe the 4D gravity of a brane world, assuming the Z 2 symmetry.

Applying this formalism to the Randall-Sundrum II model, we find two additional terms in the Einstein equations: One is the quadratic term of the energy-momentum tensor of matter and the other is the 5-dimensional (5D) Weyl curvature term. Although the 4D system of effective equations is not closed and further information from the bulk is required, those terms may provide us a window for the search of extra dimensions. We discuss some effects induced by those terms in cosmology.

Using this formalism, we also analyze other brane models: a model with a bulk dilaton field motivated by the Hořava-Witten model, and one with a bulk Yang-Mills field. The induced gravity brane model proposed by Dvali, Gabadadze and Porrati and its extension are also discussed. In the latter case, we find that the effective cosmological constant on a brane can be extremely reduced in contrast to that of the Randall-Sundrum model even if a bulk cosmological constant and a brane tension are not fine-tuned.

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Authors and Affiliations

  1. Dept. of Physics, Waseda University, Shinjuku, Tokyo 169-8555, Japan

    Kei-ichi Maeda

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  1. Kei-ichi Maeda
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Nora Bretón Jorge Luis Cervantes-Cota Marcelo Salgado

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Maeda, Ki. Brane World Cosmology. In: Bretón, N., Cervantes-Cota, J.L., Salgado, M. (eds) The Early Universe and Observational Cosmology. Lecture Notes in Physics, vol 646. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40918-2_13

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  • DOI: https://doi.org/10.1007/978-3-540-40918-2_13

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