Closed Geodesics on Godel-type Backgrounds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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latex, 15 pages, 1 figure. v3: reference added, clarifications added and some discussions expanded

Scientific paper

10.1088/1126-6708/2003/12/021

We consider radial oscillations of supertube probes in the Godel-type background which is U-dual to the compactified pp-wave obtained from the Penrose limit of the NS five-brane near horizon geometry. The supertube probe computation can be carried over directly to a string probe calculation on the U-dual background. The classical equations of motion are solved explicitly. In general, the probe is not restricted to travel unidirectionally through any global time coordinate. In particular, we find geodesics that close.

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