Possible Implications of the Uncertainty Principle for the Time Scale of Gravitational Collapse

Details Possible Implications of the Uncertainty Principle for the Time Scale of Gravitational Collapse Possible Implications of the Uncertainty Principle for the Time Scale of Gravitational Collapse

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975saosr.369.....g&link_type=abstract

SAO Special Report #369 (1975)

Physics

Scientific paper

Expected quantum fluctuations in the inertial-gravitational field are shown to lead to a loosening of the classical junction conditions of general relativity. This in turn permits an object undergoing gravitational collapse to cross its Schwarzschild horizon in a finite amount of external observer time. Assuming that various problems at the r = 0 singularity can be surmounted, we show that the object will re-expand into the original space after a finite amount of external observer time. The characteristic period is about 3.6 ms for a 1 Msun object and about 1.4 weeks for a 108 Msun object. The long term evolution of such objects is briefly discussed. It is shown that they can lose about 1/2 of their rest mass energy and that they tend toward a dynamic equilibrium in which their loss of energy is balanced by the gain from the surrounding universe.

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