A family of type N space-time with a negative cosmological constant and causality violation

Abstract A family of type N exact solutions of the Einstein’s field equations with non-zero cosmological constant admitting closed time-like curves, which appear after a certain instant of time, is presented. The space-time is free from curvature divergence, admits a non-expanding, non-twisting, and...

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Bibliographic Details
Published inProgress of theoretical and experimental physics Vol. 2019; no. 1
Main Author Ahmed, Faizuddin
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.01.2019
Subjects
Causality
Energy
Gravitational waves
Radiation
Spacetime
E01
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Summary:Abstract A family of type N exact solutions of the Einstein’s field equations with non-zero cosmological constant admitting closed time-like curves, which appear after a certain instant of time, is presented. The space-time is free from curvature divergence, admits a non-expanding, non-twisting, and shear-free geodesics null congruence, and belongs to a special class of type N Kundt metrics. The space-time exhibits geometrically different properties from the known plane-fronted gravitational waves with parallel rays (pp-waves) or plane waves which violate the causality condition. This family of solutions is a four-dimensional generalization of the two-dimensional Misner space metric in curved space-time.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/pty140