Conformal symmetries in warped manifolds.

Abstract

Conformal symmetries in warped manifolds (P. S., Apostolopoulos; Carot, Jaume.)

Abstract

The existence of a Conformal Vector Field (CVF) is studied in the important class of warped manifolds of arbitrary dimension generalizing in this way the corresponding results of the four dimensional geometries. As a concrete example we apply the geometric results in the case of brane-world scenarios when the bulk geometry admits a hypersurface orthogonal Killing Vector Field (KVF) and is filled with a perfect fluid matter content.

This article was published in Journal of Physics: Conference Series 8 (2005) 28-33