Stability of Closed Timelike Curves in Goedel Universe

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dc.creatorRosa, Valeria M.
dc.creatorLetelier, Patricio S.
dc.date2007-03-20
dc.date2007-05-28
dc.date.accessioned2026-07-07T10:37:15Z
dc.date.available2026-07-07T10:37:15Z
dc.descriptionWe study, in some detail, the linear stability of closed timelike curves in the Goedel metric. We show that these curves are stable. We present a simple extension (deformation) of the Goedel metric that contains a class of closed timelike curves similar to the ones associated to the original Goedel metric. This extension correspond to the addition of matter whose energy-momentum tensor is analyzed. We find the conditions to have matter that satisfies the usual energy conditions. We study the stability of closed timelike curves in the presence of usual matter as well as in the presence of exotic matter (matter that does satisfy the above mentioned conditions). We find that the closed timelike curves in Goedel universe with or whithout the inclusion of regular or exotic matter are also stable under linear perturbations. We also find a sort of structural stability.
dc.description12 pages, 11 figures, RevTex, several typos corrected. GRG, in press
dc.identifierhttps://arxiv.org/abs/gr-qc/0703100
dc.identifierhttp://arxiv.org/abs/gr-qc/0703100
dc.identifierGen.Rel.Grav.39:1419-1435,2007
dc.identifierdoi:10.1007/s10714-007-0464-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180320
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleStability of Closed Timelike Curves in Goedel Universe
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