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An axially symmetric spacetime with causality violation

We present an axially symmetric spacetime which contains closed timelike curves, and hence violates the causality condition. The metric belongs to type III in the Petrov classification scheme with vanishing expansion, shear and twist. The matter-energy represents a pure radiation field with a negative cosmological constant. The spacetime is asymptotically anti-de Sitter space in the radial direction.

preprint2020arXivOpen access
Bidyut Bikash Hazarika
gr-qc
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Bidyut Bikash Hazarika

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