Plane waves with weak singularities

Details Plane waves with weak singularities Plane waves with weak singularities

2003-03-03

arxiv.org/abs/hep-th/0303013v2

JHEP 0311:064,2003

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, Added references and clarifying comments

Scientific paper

10.1088/1126-6708/2003/11/064

We study a class of time dependent solutions of the vacuum Einstein equations which are plane waves with weak null singularities. This singularity is weak in the sense that though the tidal forces diverge at the singularity, the rate of divergence is such that the distortion suffered by a freely falling observer remains finite. Among such weak singular plane waves there is a sub-class which do not exhibit large back reaction in the presence of test scalar probes. String propagation in these backgrounds is smooth and there is a natural way to continue the metric beyond the singularity. This continued metric admits string propagation without the string becoming infinitely excited. We construct a one parameter family of smooth metrics which are at a finite distance in the space of metrics from the extended metric and a well defined operator in the string sigma model which resolves the singularity.

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