Kinks and Time Machines
Andrew Chamblin, Gary Gibbons, Alan R. Steif
TL;DR
This paper proves that the Deutsch-Politzer time machine cannot be smoothed into a non-singular, asymptotically flat Lorentzian metric, highlighting fundamental limitations in constructing such spacetimes.
Contribution
It establishes a no-go result for smoothing the metric on the Deutsch-Politzer time machine to achieve a non-singular, asymptotically flat Lorentzian geometry.
Findings
No smooth, non-singular, asymptotically flat Lorentzian metric exists for the Deutsch-Politzer time machine.
The result constrains the geometric possibilities for time machine spacetimes.
Highlights fundamental limitations in the classical geometry of time machines.
Abstract
We show that it is not possible to smooth out the metric on the Deutsch-Politzer time machine to obtain an everywhere non-singular asymptotically flat Lorentzian metric.
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