2008
DOI: 10.1007/s10701-008-9253-x
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Unwrapping Closed Timelike Curves

Abstract: Closed timelike curves (CTCs) appear in many solutions of the Einstein equation, even with reasonable matter sources. These solutions appear to violate causality and so are considered problematic. Since CTCs reflect the global properties of a spacetime, one can attempt to change its topology, without changing its geometry, in such a way that the former CTCs are no longer closed in the new spacetime. This procedure is informally known as unwrapping. However, changes in global identifications tend to lead to loc… Show more

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Cited by 4 publications
(3 citation statements)
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“…can only be negative-valued when A 2 −M 2 < 0. Therefore, the regime where evanescent waves arise coincides exactly with the regime where the spacetime of a cosmic spinning string can support closed timelike curves [3,23]. This regime is illustrated in Fig.…”
Section: Quasi-planewave Analysismentioning
confidence: 64%
“…can only be negative-valued when A 2 −M 2 < 0. Therefore, the regime where evanescent waves arise coincides exactly with the regime where the spacetime of a cosmic spinning string can support closed timelike curves [3,23]. This regime is illustrated in Fig.…”
Section: Quasi-planewave Analysismentioning
confidence: 64%
“…Let us present numerical results for the limiting case where ν attains its maximum value of 1/ (2G). Closed timelike curves are supported when the coefficient (A 2 − M 2 ) of dφ 2 in the line-element expression (1) is negative-valued [18]. This quantity is plotted against ρ/ρ s in Fig.…”
Section: Numerical Illustrationmentioning
confidence: 96%
“…The aim of this letter is to establish the constitutive relations of a nonhomogeneous bianisotropic medium which is formally equivalent to the spacetime metric associated with a spinning cosmic string [17]. The metric describing spinning cosmic strings is particularly interesting because it can support the existence of closed timelike curves (CTCs) [18]. But CTCs are problematic as they violate the principle of causality.…”
Section: Introductionmentioning
confidence: 99%