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TitleGeodesics dynamics in the Linet–Tian spacetime with $\Lambda <0$
Author(s)Brito, Irene
Silva, M. F. A. da
Mena, Filipe C.
Santos, N. O.
KeywordsGeneral Relativity
Exact solutions
Cylindrically symmetric spacetimes
Issue dateMar-2014
JournalGeneral relativity and gravitation
Abstract(s)We investigate the geodesics' kinematics and dynamics in the Linet-Tian metric with $\Lambda<0$ and compare with the results for the Levi-Civita metric, when $\Lambda=0$. This is used to derive new stability results about the geodesics' dynamics in static vacuum cylindrically symmetric spacetimes with respect to the introduction of $\Lambda<0$. In particular, we find that increasing $|\Lambda|$ always increases the minimum and maximum radial distances to the axis of any spatially confined planar null geodesic. Furthermore, we show that, in some cases, the inclusion of any $\Lambda<0$ breaks the geodesics' orbit confinement of the $\Lambda=0$ metric, for both planar and non-planar null geodesics, which are therefore unstable. Using the full system of geodesics' equations, we provide numerical examples which illustrate our results.
Publisher versionThe original publication is available at:
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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