Causal inheritence in plane wave quotients

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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 ... continued below

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Hubeny, Veronika E.; Rangamani, Mukund & Ross, Simon F. November 24, 2003.

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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.

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  • Other Information: Journal Publication Date: 2004

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  • Report No.: LBNL--53482
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 842736
  • Archival Resource Key: ark:/67531/metadc783361

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  • November 24, 2003

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  • Dec. 3, 2015, 9:30 a.m.

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  • April 4, 2016, 3 p.m.

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Hubeny, Veronika E.; Rangamani, Mukund & Ross, Simon F. Causal inheritence in plane wave quotients, article, November 24, 2003; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc783361/: accessed November 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.