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The Universality of Penrose Limits near Space-Time Singularities
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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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Cited by 2 Pith papers
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Circular strings, magnons, plane waves and local quenches in BTZ
A coordinate map from AdS3 to BTZ allows construction of circular strings, magnons, and plane waves whose SL(2,R) charges are related by a boost, dual to asymmetric local quenches in the thermal CFT.
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pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes
Penrose limits onto the photon ring and past horizon of Schwarzschild produce pp-wave spacetimes whose isometries generate the evenly spaced overtones of eikonal and highly damped quasinormal modes.
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