Scalar field cosmologies and the initial spacetime singularity
Scalar field cosmologies and the initial spacetime singularity
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标量场宇宙学和初始时空奇点
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
S. Foster
中科院分区：
文献类型：
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作者：
S. Foster
讨论了物质内容由具有任意非负势的标量场组成的宇宙学模型的奇点结构。使用动态系统方法详细分析了空间平坦的 FRW 时空的特殊情况，该方法可以很容易地推广到更复杂的时空。结果表明，对于非常大且自然的模型类，存在简单且规则的过去渐近结构。更具体地说，存在一系列与精确可积的无质量标量场宇宙论连续一一对应的解，这种对应是通过独特的渐近近似来实现的。不属于此类的解集的测度为零。简要讨论了这一结果对宇宙学初值问题的意义。
The singularity structure of cosmological models whose matter content consists of a scalar field with arbitrary non-negative potential is discussed. The special case of spatially flat FRW spacetime is analysed in detail using a dynamical systems approach which may readily be generalized to more complicated spacetimes. It is shown that for a very large and natural class of models a simple and regular past asymptotic structure exists. More specifically, there exists a family of solutions which is in continuous one-to-one correspondence with the exactly integrable massless scalar field cosmologies, this correspondence being realized by a unique asymptotic approximation. The set of solutions which do not fall into this class has measure zero. The significance of this result to the cosmological initial-value problem is discussed briefly.