Effective Equations on the 3-Brane World from Type IIB String

Details Effective Equations on the 3-Brane World from Type IIB String Effective Equations on the 3-Brane World from Type IIB String

2005-03-02

arxiv.org/abs/gr-qc/0503009v4

Int.J.Mod.Phys. A21 (2006) 83-108

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex4 file, 28 pages; Int. J. Mod. Phys. A, in press

Scientific paper

10.1142/S0217751X06024281

The effective field equations on a 3-brane are established considering the massless bosonic sector of the type IIB string compactified on S^5. The covariant embedding formalism in a space endowed with Z_2-symmetry is applied. Recently the derivation of effective equations on the 3-brane, where only gravity penetrates in the bulk has been performed by Shiromizu, Maeda, and Sasaki. We extend this analysis to the situation when the bulk contains a set of fields given by the type IIB string. The notion of the Einstein-Cartan space is considered in order to avoid extra suppositions about the embedding of these fields. The interactions between the brane and the bulk fields are understood in a purely geometric way, which fixes the form of these interactions. Finally, we present the dynamically equivalent effective equations have expressed completely in Riemannian terms and make conclusions.

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