Closed Geodesics on Godel-type Backgrounds

Abstract

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.

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

References in corpus (3)

• Goedel's Universe in a Supertube Shroud
• Closed Timelike Curves and Holography in Compact Plane Waves
• Can branes travel beyond CTC horizon in Godel Universe?

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• A deformation of AdS_5 x S^5
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• Killing spectroscopy of closed timelike curves
• Instability of Tachyon Supertube in Type IIA Godel Spacetime