Randall-Sundrum Zero Mode as a Penrose Limit

Details Randall-Sundrum Zero Mode as a Penrose Limit Randall-Sundrum Zero Mode as a Penrose Limit

2002-03-17

arxiv.org/abs/hep-th/0203153v1

Phys.Lett.B535:309-314,2002

Physics

High Energy Physics

High Energy Physics - Theory

8 pages,LaTeX

Scientific paper

10.1016/S0370-2693(02)01804-X

A generalization of the limiting procedure of Penrose, which allows non-zero cosmological constants and takes into account metrics that contain homogeneous functions of degree zero, is presented. It is shown that any spacetime which admits a spacelike conformal Killing vector has a limit which is conformal to plane waves. If the spacetime is an Einstein space, its limit exists only if the cosmological constant is negative or zero. When the conformal Killing vector is hypersurface orthogonal, the limits of Einstein spacetimes are certain AdS plane waves. In this case the nonlinear version of the Randall-Sundrum zero mode is obtained as the limit of the brane world scenarios.

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