Length and volume of the Qadir-Wheeler ``suture model''

Details Length and volume of the Qadir-Wheeler ``suture model'' Length and volume of the Qadir-Wheeler ``suture model''

Apr 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phrvd..63h3502a&link_type=abstract

Physical Review D, vol. 63, Issue 8, id. 083502

Mathematics

Logic

2

Scientific paper

It had been shown that the Qadir-Wheeler inhomogeneous cosmological model constructed by a ``cut-and-paste'' procedure from two closed Friedmann models develops a corridor in the late stages of crunch. It had been argued that the proper length of the corridor tends to infinity with York time. However, it was not proved that it does so, and nor was it really clear how it would tend to infinity. Again, it was argued that the volume of the model would shrink to zero, but it was not apparent precisely how it would do so. The earlier conjecture for the first order behavior of the proper length and volume of the model is proved and the next order correction worked out so as to make clear at what York time the onset of the crunch occurs.

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