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Motion of charged particles in a NUTty Einstein–Maxwell spacetime and causality violation

  • Gérard Clément
  • Mourad Guenouche
Research Article

Abstract

We investigate the motion of electrically charged test particles in spacetimes with closed timelike curves, a subset of the black hole or wormhole Reissner–Nordström-NUT spacetimes without periodic identification of time. We show that, while in the wormhole case there are closed worldlines inside a potential well, the wordlines of initially distant charged observers moving under the action of the Lorentz force can never close or self-intersect. This means that for these observers causality is preserved, which is an instance of our weak chronology protection criterion.

Keywords

Einstein–Maxwell NUT Charged test particle Causality 

Notes

Acknowledgements

We thank Dmitry Gal’tsov for fruitful discussions and suggestions, and Júlio Fabris for valuable comments. MG acknowledges the support of the Ministry of Higher Education and Scientific Research of Algeria (MESRS) under Grant 0092009009.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.LAPThUniversité Savoie Mont Blanc, CNRSAnnecy-le-Vieux CedexFrance
  2. 2.Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences ExactesUniversité de Constantine 1ConstantineAlgeria
  3. 3.Department of Physics, Faculty of SciencesHassiba Benbouali University of ChlefOuled FaresAlgeria

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