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

被引:4
作者
Brito, Irene [1 ]
Da Silva, M. F. A. [2 ]
Mena, Filipe C. [1 ,2 ]
Santos, N. O. [2 ,3 ,4 ]
机构
[1] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal
[2] Univ Estado Rio de Janeiro, Inst Fis, Dept Fis Teor, BR-20550900 Rio De Janeiro, Brazil
[3] Univ London, Sch Math Sci, London E1 4NS, England
[4] Univ Paris 06, Sorbonne Univ, LERMA, CNRS,Observ Paris Meudon,UMRS8112, F-92195 Meudon, France
关键词
exact solutions; geodesics; dynamics and stability; cylindrical symmetry; COSMOLOGICAL CONSTANT; GENERAL-RELATIVITY; GRAVITATIONAL-FIELD; COSMIC STRINGS; BLACK-HOLES; ENERGY; TIME; JET; STATIONARY; CYLINDERS;
D O I
10.1088/0264-9381/32/18/185015
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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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页数:26
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