Publicação
Geodesics dynamics in the Linet–Tian spacetime with Λ > 0
| Resumo: | 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. |
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| Autores principais: | Brito, Irene |
| Outros Autores: | Silva, M. F. A. da; Mena, Filipe C.; Santos, N. O. |
| Assunto: | Exact solutions Geodesics Dynamics and stability Cylindrical symmetry Ciências Naturais::Matemáticas |
| Ano: | 2015 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | 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. |
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