Plane waves with weak singularities

David, Justin R (2003) Plane waves with weak singularities Journal of High Energy Physics, 2003 (11). 064-064. ISSN 1029-8479

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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 way but not unique 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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ID Code:117057
Deposited On:14 Apr 2021 09:18
Last Modified:14 Apr 2021 09:18

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