Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-07-25
Phys.Rev. D69 (2004) 024007
Physics
High Energy Physics
High Energy Physics - Theory
28 pages; v2: references added v3: added clarifications
Scientific paper
10.1103/PhysRevD.69.024007
We investigate the appearance of closed timelike curves in quotients of plane waves along spacelike isometries. First we formulate a necessary and sufficient condition for a quotient of a general spacetime to preserve stable causality. We explicitly show that the plane waves are stably causal; in passing, we observe that some pp-waves are not even distinguishing. We then consider the classification of all quotients of the maximally supersymmetric ten-dimensional plane wave under a spacelike isometry, and show that the quotient will lead to closed timelike curves iff the isometry involves a translation along the u direction. The appearance of these closed timelike curves is thus connected to the special properties of the light cones in plane wave spacetimes. We show that all other quotients preserve stable causality.
Hubeny Veronika E.
Rangamani Mukund
Ross Simon F.
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