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arXiv · 1705.07405

A type N radiation field solution with $Λ<0$ in a curved space-time and closed time-like curves

Faizuddin Ahmed
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Abstract

An anti-de Sitter background four-dimensional type N solution of the Einstein's field equations, is presented. The matter-energy content pure radiation field satisfies the null energy condition (NEC), and the metric is free-from curvature divergence. In addition, the metric admits a non-expanding, non-twisting and shear-free geodesic null congruence which is not covariantly constant. The space-time admits closed time-like curves which appear after a certain instant of time in a causally well-behaved manner. Finally, the physical interpretation of the solution, based on the study of the equation of the geodesics deviation, is analyzed.

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Faizuddin Ahmed. 2018-05-21. A type N radiation field solution with $Λ<0$ in a curved space-time and closed time-like curves. https://doi.org/10.1140/epjc%2Fs10052-018-5880-3

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