Collapsing void in a spatially flat Robertson-Walker universe.

Mathematics – Logic

Scientific paper

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Cosmological Models

Scientific paper

The authors consider here a model of the spherical void (or its precursor) containing low density conducting fluid surrounded by a thick spherical shell of radiation embedded in a Robertson-Walker (RW) universe with flat space sections. The underdense region has a metric which is the special case of a solution given by Maiti (1982) surrounded by Vaidya metric. The authors also assume the RW universe to be filled with a perfect fluid with a linear equation of state. The matching conditions indicate that if the time coordinate in each region is future directed then the underdense region appears to go on contracting to a comoving observer in the universe as the latter expands until it disappears. However, if the pressure in the RW universe vanishes, (approximately the present day condition), the underdense region remains static.

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