Geodesics dynamics in the Linet-Tian spacetime with Λ > 0

We analyse the geodesics' dynamics in cylindrically symmetric vacuum spacetimes with and compare it to the and cases. When there are two singularities in the metric which brings new qualitative features to the dynamics. We find that planar timelike confined geodesics are unstable against the in...

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Bibliographic Details
Published in:Classical and quantum gravity 2015-09, Vol.32 (18), p.185015-185040
Main Authors: Brito, Irene, Silva, M F A Da, Mena, Filipe C, Santos, N O
Format: Article
Language:English
Subjects:
Astrophysics
Ciências Naturais
Cylindrical symmetry
Dynamic tests
Dynamics and stability
Exact solutions
Geodesics
Geodesy
Geodynamics
Matching
Matemáticas
Orbits
Physics
Quantum gravity
Science & Technology
Singularities
Symmetry
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Summary:We analyse the geodesics' dynamics in cylindrically symmetric vacuum spacetimes with and compare it to the and cases. When there are two singularities in the metric which brings new qualitative features to the dynamics. We find that planar timelike confined geodesics are unstable against the introduction of a sufficiently large Λ, in the sense that the bounded orbits become unbounded. In turn, any non-planar radially bounded geodesics are stable for any positive Λ. We construct global non-singular static vacuum spacetimes in cylindrical symmetry with by matching the Linet-Tian metric with two appropriate sources.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/32/18/185015