Causal Classification of Pathological Misner-Type Spacetimes
Abstract
We analyze the Misner space, incorporating Kip Thorne's "moving wall" model, and pseudo-Schwarzschild spacetime, exploring their geometric structures, geodesics, and causal properties. We propose that pseudo-Schwarzschild spacetime serves as a non-flat generalization of Misner space. We then introduce the pseudo-Reissner-Nordström spacetime, a novel chronology-violating model that extends the previous two frameworks and unifies the geodesic structures of all three spacetimes. We suggest that these spacetimes constitute a causality-violating family, interconnected through common fundamental causal features$-$geodesics, Cauchy and chronology horizons, and acausal regions$-$leading a conjecture that they are isocausal.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2025
- DOI:
- arXiv:
- arXiv:2501.00841
- Bibcode:
- 2025arXiv250100841R
- Keywords:
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- General Relativity and Quantum Cosmology;
- Mathematical Physics;
- Mathematics - Differential Geometry
- E-Print:
- This article is based on research originally conducted as part of a project during 2016-2018 under the supervision of Kip S. Thorne. 33 pages, 11 figures