Physical Implications for the Uniqueness of the Value of the Integration in the Vacuum Schwarzschild Solution

Details Physical Implications for the Uniqueness of the Value of the Integration in the Vacuum Schwarzschild Solution Physical Implications for the Uniqueness of the Value of the Integration in the Vacuum Schwarzschild Solution

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2276m&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Physics

Black Holes

Scientific paper

By using the principle of invariance of 4 -volume associated in any curvilinear coordinate transformation, we show that, the integration constant α0 appearing in the vacuum Schwarzschild solution (VSS) has a unique value 0. This implies that the gravitational mass of the neutral "massenpunkt" or "point mass" involved in the problem is zero in exact agreement with the corresponding result by Arnowitt, Deser and Misner.1 It also means that Schwarzschild Black Holes could only be the asymptotic solution of collapsed objects which may approach the M → M0 = 0 state by radiating away the entire available mass energy.

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