Geometric Analysis of Particular Compactly Constructed Time Machine Spacetimes

Details Geometric Analysis of Particular Compactly Constructed Time Machine Spacetimes Geometric Analysis of Particular Compactly Constructed Time Machine Spacetimes

2011-11-11

arxiv.org/abs/1111.2822v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 3 figures

Scientific paper

10.1016/j.geomphys.2011.11.013

We formulate the concept of time machine structure for spacetimes exhibiting a compactely constructed region with closed timelike curves. After reviewing essential properties of the pseudo Schwarzschild spacetime introduced by A. Ori, we present an analysis of its geodesics analogous to the one conducted in the case of the Schwarzschild spacetime. We conclude that the pseudo Schwarzschild spacetime is geodesically incomplete and not extendible to a complete spacetime. We then introduce a rotating generalization of the pseudo Schwarzschild metric, which we call the the pseudo Kerr spacetime. We establish its time machine structure and analyze its global properties.

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