Brane World Dynamics and Conformal Bulk Fields

Details Brane World Dynamics and Conformal Bulk Fields Brane World Dynamics and Conformal Bulk Fields

2003-02-05

arxiv.org/abs/hep-th/0302030v2

Phys.Rev.D68:024007,2003

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, latex, no figures. Minor revisions. Some references added. Revised version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.024007

In the Randall-Sundrum scenario we investigate the dynamics of a spherically symmetric 3-brane world when matter fields are present in the bulk. To analyze the 5-dimensional Einstein equations we employ a global conformal transformation whose factor characterizes the $Z_2$ symmetric warp. We find a new set of exact dynamical collapse solutions which localize gravity in the vicinity of the brane for a stress-energy tensor of conformal weight -4 and a warp factor that depends only on the coordinate of the fifth dimension. Geometries which describe the dynamics of inhomogeneous dust and generalized dark radiation on the brane are shown to belong to this set. The conditions for singular or globally regular behavior and the static marginally bound limits are discussed for these examples. Also explicitly demonstrated is complete consistency with the effective point of view of a 4-dimensional observer who is confined to the brane and makes the same assumptions about the bulk degrees of freedom.

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