Geodesics dynamics in the Linet-Tian spacetime with Lambda<0
| Autor: | Brito, Irene, da Silva, M. F. A., Mena, Filipe C., Santos, N. O. |
|---|---|
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | General Relativity and Gravitation, 46 (2014) 1681 (23 pages) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10714-014-1681-7 |
| Popis: | 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. Comment: 25 pages, 13 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|