The Universality of Penrose Limits near Space-Time Singularities

Details The Universality of Penrose Limits near Space-Time Singularities The Universality of Penrose Limits near Space-Time Singularities

2004-03-25

arxiv.org/abs/hep-th/0403252v1

JHEP 0407:068,2004

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, LaTeX2e, 4 figures

Scientific paper

10.1088/1126-6708/2004/07/068

We prove that Penrose limits of metrics with arbitrary singularities of power-law type show a universal leading u^{-2}-behaviour near the singularity provided that the dominant energy condition is satisfied and not saturated. For generic power-law singularities of this type the oscillator frequencies of the resulting homogeneous singular plane wave turn out to lie in a range which is known to allow for an analytic extension of string modes through the singularity. The discussion is phrased in terms of the recently obtained covariant characterisation of the Penrose limit; the relation with null geodesic deviation is explained in detail.

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