ON THE STRUCTURE OF CONFORMAL SINGULARITIES IN CLASSICAL GENERAL-RELATIVITY .2. EVOLUTION-EQUATIONS AND A CONJECTURE OF TOD,K.P.
ON THE STRUCTURE OF CONFORMAL SINGULARITIES IN CLASSICAL GENERAL-RELATIVITY .2. EVOLUTION-EQUATIONS AND A CONJECTURE OF TOD,K.P.
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DOI：
10.1098/rspa.1993.0159
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发表时间：
1993-12-08
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影响因子：
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通讯作者：
NEWMAN, RPAC
中科院分区：
文献类型：
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作者：
NEWMAN, RPAC
考虑了从共形型初始奇点演化而来的理想流体时空的柯西问题。共形变换的非物理几何的演化方程可以表示为一阶对称双曲组，尽管有奇异的强迫项。结果表明，非物理时空初始超曲面上的3度规构成了可自由指定的初始数据。根据彭罗斯的韦尔曲率假设，韦尔张量最初为零，从而得出物理时空是罗伯逊-沃克的结论。这可能为宇宙的大尺度各向同性提供新的解释基础。
Consideration is given to the Cauchy problem for perfect fluid space-times which evolve from an initial singularity of conformal type. The evolution equations for the conformally transformed, unphysical geometry are shown to be expressible as a first order symmetric hyperbolic system, albeit with a singular forcing term. It is concluded that the 3-metric on the initial hypersurface of the unphysical space-time constitutes the freely specifiable initial data. Subject to Penroses's Weyl Curvature Hypothesis, according to which the Weyl tensor was initially zero, it follows that the physical space-time is Robertson-Walker. This may provide a basis for a new explanation for the large-scale isotropy of the universe.