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|Title:||Geodesics dynamics in the Linet–Tian spacetime with $\Lambda <0$|
Silva, M. F. A. da
Mena, Filipe C.
Santos, N. O.
Cylindrically symmetric spacetimes
|Journal:||General 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 version:||The original publication is available at www.springerlink.com (http://link.springer.com/article/10.1007%2Fs10714-014-1681-7)|
|Access:||Restricted access (UMinho)|
|Appears in Collections:||CMAT - Artigos em revistas com arbitragem / Papers in peer review journals|
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