Global existence and future asymptotic behaiviour for solutions of the Einstein-Vlasov - scalar field system with surface symmetry

被引:8
|
作者
Tegankong, D [1 ]
机构
[1] Univ Yaounde, Dept Math, ENS, Yaounde, Cameroon
关键词
D O I
10.1088/0264-9381/22/12/005
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We prove in the cases of plane and hyperbolic symmetries a global in time existence result in the future for cosmological solutions of the Einstein-Vlasov-scalar field system, with the sources generated by a distribution function and a scalar field, subject to the Vlasov and wave equations respectively. The spacetime is future geodesically complete in the special case of plane symmetry with only a scalar field. Causal geodesics are also shown to be future complete for general homogeneous solutions of the Einstein-Vlasov-scalar field system with plane and hyperbolic symmetry.
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页码:2381 / 2391
页数:11
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