Abstract
We present a stationary axisymmetric space–time admitting circular closed timelike geodesics everywhere within a finite region of space. The space–time is free from curvature divergence and is locally isometric to a nonvacuum pp-wave space–time. The matter–energy content is a pure radiation field and satisfies the null energy condition (NEC), and the metric is of type N in the Petrov classification scheme. Finally, we demonstrate the existence of timelike and null circular geodesic paths for this metric.
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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 195, No. 3, pp. 483–490, June, 2018.
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Ahmed, F. Axisymmetric Pure Radiation Space–Time with Causality-Violating Geodesics. Theor Math Phys 195, 916–922 (2018). https://doi.org/10.1134/S0040577918060089
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DOI: https://doi.org/10.1134/S0040577918060089