Kasner-Like Behaviour for Subcritical Einstein-Matter Systems
Kasner-Like Behaviour for Subcritical Einstein-Matter Systems
复制标题
亚临界爱因斯坦物质系统的类卡斯纳行为
DOI：
10.1007/s000230200000
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
M. Weaver
中科院分区：
文献类型：
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作者：
T. Damour;M. Henneaux;A. Rendall;M. Weaver
抽象的。重复以前的启发式分析la Belinskiii-Khalatnikov-Lifshitz，它被严格证明，某些“亚临界”爱因斯坦物质系统表现出单调的，广义卡斯纳行为在附近的类空奇点。如果p-形式的Einstein-Stronon耦合属于零的某个依赖于维数的开邻域[1]，则D-维耦合Einstein-Stronon-p-形式系统是亚临界的;而如果D ≥ 11，则纯引力是亚临界的[13]。我们的证明依赖于Fuchsian技术的使用，就像最近的定理[15]处理（总是亚临界[14]）爱因斯坦-爱因斯坦系统一样，Fuchsian技术使人们能够构造完整运动方程组的局部解析解。构造的解决方案是“一般”的意义上说，他们依赖于自由函数的最大预期数量。
Abstract. Confirming previous heuristic analyses à la Belinskii-Khalatnikov-Lifshitz, it is rigorously proven that certain “subcritical” Einstein-matter systems exhibit a monotone, generalized Kasner behaviour in the vicinity of a spacelike singularity. The D-dimensional coupled Einstein-dilaton-p-form system is subcritical if the dilaton couplings of the p-forms belong to some dimension-dependent open neighborhood of zero [1], while pure gravity is subcritical if D ≥ 11 [13]. Our proof relies, like the recent Theorem [15] dealing with the (always subcritical [14]) Einstein-dilaton system, on the use of Fuchsian techniques, which enable one to construct local, analytic solutions to the full set of equations of motion. The solutions constructed are “general” in the sense that they depend on the maximal expected number of free functions.