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|Title:||Geodesics dynamics in the Linet–Tian spacetime with Λ > 0|
Silva, M. F. A. da
Mena, Filipe C.
Santos, N. O.
Dynamics and stability
|Journal:||Classical 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.|
|Access:||Restricted access (UMinho)|
|Appears in Collections:||CMAT - Artigos em revistas com arbitragem / Papers in peer review journals|
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