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Behavior of curvature and matter in the Penrose limit

Journal Article · · Physical Review. D, Particles Fields
 [1]
  1. Fisica Teorica, Universidad de Salamanca, Plaza de la Merced s/n, 37008 Salamanca (Spain)
In the Penrose limit construction a constant parameter {omega} is introduced by which coordinates as well as the metric are rescaled in a suitable way. It results in a metric which apart from a possible coordinate dependence has an additional dependence on this constant parameter {omega}. Here the scaling with {omega} of the components of the Weyl tensor and the energy-momentum tensor is determined in the Penrose limit, i.e. {omega}{yields}0. In both cases, a type of peeling-off behavior in {omega} 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.
OSTI ID:
20706185
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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