skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Causal inheritence in plane wave quotients

Abstract

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.

Authors:
; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Director. Office of Science. Office of High Energy and Nuclear Physics. Division of High Energy Physics; National Science Foundation Grants PHY-9870115 and PHY-0098840; Engineering and Physical Sciences Research Council
OSTI Identifier:
842736
Report Number(s):
LBNL-53482
R&D Project: PTHOPS; TRN: US0503668
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Journal Article
Resource Relation:
Other Information: Journal Publication Date: 2004
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CAUSALITY; CLASSIFICATION; LIGHT CONE; SPACE-TIME

Citation Formats

Hubeny, Veronika E., Rangamani, Mukund, and Ross, Simon F. Causal inheritence in plane wave quotients. United States: N. p., 2003. Web.
Hubeny, Veronika E., Rangamani, Mukund, & Ross, Simon F. Causal inheritence in plane wave quotients. United States.
Hubeny, Veronika E., Rangamani, Mukund, and Ross, Simon F. Mon . "Causal inheritence in plane wave quotients". United States. https://www.osti.gov/servlets/purl/842736.
@article{osti_842736,
title = {Causal inheritence in plane wave quotients},
author = {Hubeny, Veronika E. and Rangamani, Mukund and Ross, Simon F.},
abstractNote = {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.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Nov 24 00:00:00 EST 2003},
month = {Mon Nov 24 00:00:00 EST 2003}
}