2005/04/11 by Abhas Mitra, Mitra, Abhas
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Relativity and Gravitational Theory #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/0504076
8 pages, Most direct result
arxiv created 2005/04/11 · openalex publication_date 2005/04/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The stongest theoretical support for Schwarzschild Black Holes (SBHs) is the existence of vacuum Schwarzschild/Hilbert solution. The integration constant alpha0 in this solution is interpreted as the mass of the BH. But by equating the 4-volumes (an INVARIANT) associated with the Schwarzschild and the Eddington-Finkelstein metrics, we directly obtain here the stunning result that SBHs have the unique mass, M0 = 0! Thus the Event Horizon of a SBH (Rg = 2M0 =0) gets merged with the central singularity at R=0 and, after 90 years, the mysterious EH indeed gets erased from the non-singular R >0 region of a completely empty (R0=0) spherical POINT MASS spacetime in accordance with the intuition of the founders of GR. Consequently the entropy of SBHs have the unique value of zero, which instantly removes the quantum mechanical``information paradox'' and the apparent conflict between GR and QM, the two pillars of modern physics. This direct result firmly establishes the exciting fact, as far as isolated bodies are concerned, GR is a singularity free theory even at the classical level! The Black Hole Candidates with mass M >0 are thus NOT BHs and instead could be HOT compact objects whose possibility has so far been overlooked in favour of COLD Neutron Stars or BHs. With alpha0 =0, the BH paradigm collapses instantly because it was built with the ASSUMPTION alpha0 >0. This result is dedicated to the occurrence of 100 years of Relativity.