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A conformally flat four-dimensional curved generalization of the two-dimensional Misner space

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Abstract

We present a conformally flat, cylindrically symmetric solution of the Einstein field equations which acts as a time machine, in that the solution predicts the formation of closed timelike curves. The formation of these causality-violating curves is analogous to that of the Misner space in two dimensions.

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Authors and Affiliations

  1. Department of Physics, Gauhati University, Guwahati, 781014, Assam, India

    Bidyut Bikash Hazarika

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  1. Bidyut Bikash Hazarika
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Correspondence to Bidyut Bikash Hazarika.

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Hazarika, B.B. A conformally flat four-dimensional curved generalization of the two-dimensional Misner space. Eur. Phys. J. Plus 136, 600 (2021). https://doi.org/10.1140/epjp/s13360-021-01609-3

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01609-3

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