2014/11/20 by Giovanni Acquaviva, George F. R. Ellis, George Ellis +2 · 12 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Gravitation #Gravitational collapse #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Theoretical physics #White hole #gr-qc
paper · pdf · doi:10.1103/physrevd.91.064017
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(6) (American Physical Society) · 8 pages, 1 figure
arxiv created 2014/11/20 · openalex publication_date 2015/03/06 · arxiv updated 2015/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant formalism. In the simplest case of an Oppenheimer--Snyder--Datt collapse, we prove that the change in gravitational entropy outside a collapsing body is related to the variation of the surface area of the body itself, even before the formation of horizons. As a result, we are able to relate the Bekenstein--Hawking entropy of the black hole end state to the variation of the vacuum gravitational entropy outside the collapsing body.