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Type III Spacetime with Closed Timelike Curves

2021/05/17 by Faizuddin Ahmed, Ahmed, Faizuddin
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2105.08523

openalex publication_date 2021/05/17 · openalex created_date 2021/09/13 · openalex updated_date 2026/07/28

Abstract

We present a cyclic symmetric space-time, admitting closed time-like curves (CTCs) which appear after a certain instant of time, i. e., a time-machine space-time. These closed time-like curves evolve from an initial spacelike hypersurface on the plane z=constant in a causally well-behaved manner. The space-time discussed here is free from curvature singularities and a 4D generalization of the Misner space in curved space-time. The matter field is of pure radiation with a negative cosmological constant

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