Phys. Rev. Lett. 66, 401–404 (1991)The Cauchy problem for the scalar wave equation is well defined on a class of spacetimes with closed timelike curvesReceived 25 October 1990; published in the issue dated 28 January 1991 We study the massless scalar wave equation on a class of asymptotically flat, static spacetimes with closed timelike curves (CTC’s), in which all future-directed CTC’s traverse one end of a handle (wormhole) and emerge from the other end at an earlier time. Existence of smooth, asymptotically regular solutions is proved for smooth data with finite energy given in scrI-. The proof requires a generalized spectral decomposition for a non-Hermitian operator. We also prove that this solution is unique among solutions that die off in time. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.66.401
DOI:
10.1103/PhysRevLett.66.401
PACS:
04.20.Cv, 02.30.+g, 04.20.Jb
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