GT7 - Exact Solutions (physical aspects) |
Speaker_ |
Mitra, Abhas |
Co-autors |
1. Abhas Mitra, MPIK Heidelberg, Germany; 2. Darryl Leiter, MARC, Charlottesville, VA, USA; 3. Stanley Robertson, SWOSU, Weatherford, OK, USA |
Talk _ |
Physical Implications for the Uniqueness of the Value of the Integration Constant in the Vacuum Schwarzschild Solution |
Abstract _ |
We consider the vacuum Schwarzschild solution both in the (1) standard Schwarzschild and (2) Eddington -Finkelstein coordinates. Since the 4-volume associated with the problem remains invariant under any curvilenear coordinate transformations, we equate the same obtained in metrics (1) and (2). It would then follow that the integration constant alpha_0 appearing in these two solutions have a unique value. We discuss the physical implications of this exact result in the light of the classic paper ``Dynamics of General Relativity'' by Arnowitt, Deser and Misner (gr-qc/0405109). |