期刊
PRAMANA-JOURNAL OF PHYSICS
卷 69, 期 1, 页码 31-47出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-007-0109-2
关键词
raychaudhuri equation; singularity-free cosmologies; singularity theorems
Inspired by Raychaudhuri's work, and using the equation named after him as a basic ingredient, a new singularity theorem is proved. Open non-rotating Universes, expanding everywhere with a non-vanishing spatial average of the matter variables, show severe geodesic incompletness in the past. Another way of stating the result is that, under the same conditions, any singularity-free model must have a vanishing spatial average of the energy density ( and other physical variables). This is very satisfactory and provides a clear decisive difference between singular and non-singular cosmologies.
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