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TitleGeodesics dynamics in the Linet–Tian spacetime with Λ > 0
Author(s)Brito, Irene
Silva, M. F. A. da
Mena, Filipe C.
Santos, N. O.
KeywordsExact solutions
Dynamics and stability
Cylindrical symmetry
Issue dateSep-2015
PublisherIOP Publishing
JournalClassical and Quantum Gravity
Abstract(s)We analyse the geodesics' dynamics in cylindrically symmetric vacuum spacetimes with $\Lambda>0$ and compare it to the $\Lambda= 0$ and $\Lambda<0$ cases. When $\Lambda>0$ there are two singularities in the metric which brings new qualitative features to the dynamics. We find that $\Lambda=0$ planar timelike confined geodesics are unstable against the introduction of a sufficiently large $\Lambda$, in the sense that the bounded orbits become unbounded. In turn, any non-planar radially bounded geodesics are stable for any positive $\Lambda$. We construct global non-singular static vacuum spacetimes in cylindrical symmetry with $\Lambda>0$ by matching the Linet-Tian metric with two appropriate sources.
Publisher version
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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