Constructing Time Machines

Details Constructing Time Machines Constructing Time Machines

2002-10-15

arxiv.org/abs/gr-qc/0210048v1

Int.J.Mod.Phys. A18 (2003) 4169-4200

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

36 pages, 14 figures, TeX with harvmac; Review article prepared for Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X03015118

The existence of time machines, understood as spacetime constructions exhibiting physically realised closed timelike curves (CTCs), would raise fundamental problems with causality and challenge our current understanding of classical and quantum theories of gravity. In this paper, we investigate three proposals for time machines which share some common features: cosmic strings in relative motion, where the conical spacetime appears to allow CTCs; colliding gravitational shock waves, which in Aichelburg-Sexl coordinates imply discontinuous geodesics; and the superluminal propagation of light in gravitational radiation metrics in a modified electrodynamics featuring violations of the strong equivalence principle. While we show that ultimately none of these constructions creates a working time machine, their study illustrates the subtle levels at which causal self-consistency imposes itself, and we consider what intuition can be drawn from these examples for future theories.

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