Collapse Condition for a Spherically Symmetric Static Universe

Details Collapse Condition for a Spherically Symmetric Static Universe Collapse Condition for a Spherically Symmetric Static Universe

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aps..nesapp005r&link_type=abstract

American Physical Society, 2009 Joint Spring Meeting of the New England Section of APS and AAPT, May 8-9, 2009, abstract #APSP.0

Physics

Scientific paper

A static model of a universe has been obtained from Einstein's equations for a gravitational field inside a sphere of a radius A, filled with a incompressible liquid of a constant density 10-31 g/cm^3. It is shown that gravitational collapse occurs in the scale 11.94x10^28 cm < R < 12.69x10^28 cm so that the gravitational radius is Rg<=A: at the Hubble radius, RH=1.3x10^28 cm, collapse is impossible. Two models are considered: 1) a Hubble universe (A=RH); 2) a universe containing a collapsar inside (RgRg). Redshift in both models is due to the repulsing gravitational inertial force (not the Doppler effect), and is a square function of distance at large R.

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