标题： 具有表面对称性的爱因斯坦-玻尔兹曼-标量场系统的整体存在性和未来渐近行为 显示英文标题

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

摘要： 我们在平面和双曲对称的情况下，证明了宇宙学解的全局在时域未来存在结果，对于爱因斯坦-维拉索夫-标量场系统，源由分布函数和标量场生成，分别受维拉索夫方程和波动方程支配。在仅有标量场的平面对称特殊情况中，时空在未来测地线完整。对于具有平面和双曲对称性的爱因斯坦-维拉索夫-标量场系统的均匀解，因果测地线也被证明是未来完整的。 显示英文摘要

摘要： We prove in the cases of plane and hyperbolic symmetries a global in time existence result in the future for comological 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 homogeneous solutions of the Einstein-Vlasov-scalar field system with plane and hyperbolic symmetry.