Asymptotic behaviour of curvature and matter in the Penrose limit

Abstract

The asymptotic behaviour of the components of the Weyl tensor and of the energy-momentum tensor in the Penrose limit is determined. In both cases a peeling-off property is found. Examples of different types of matter are provided. The expansion and shear of the congruence of null geodesics along which the Penrose limit is taken are determined. Finally, the approach to the singularity in the Penrose limit of cosmological space-times is discussed.

12 pages

References in corpus (4)

• Penrose Limits and Spacetime Singularities
• The Universality of Penrose Limits near Space-Time Singularities
• T-Duality and Penrose limits of spatially homogeneous and inhomogeneous cosmologies
• Power-law singularities in string theory and M-theory