2021/02/28 by Olivier Minazzoli, Edison Santos
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #General relativity #Quantum Electrodynamics and Casimir Effect #Relativity and Gravitational Theory #Schwarzschild metric #Schwarzschild radius #Theory of relativity #White hole #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-021-09441-w
6 pages
openalex created_date 2021/03/01 · arxiv created 2021/05/07 · openalex publication_date 2021/07/01 · arxiv updated 2021/08/04 · openalex updated_date 2026/08/05
Abstract In this manuscript, we show that the external Schwarzschild metric can be a good approximation of exact black hole solutions of entangled relativity. Since entangled relativity cannot be defined from vacuum, the demonstrations need to rely on the definition of matter fields. The electromagnetic field being the easiest (and perhaps the only) existing matter field with infinite range to consider, we study the case of a charged black hole – for which the solution of entangled relativity and a dilaton theory agree – as well as the case of a pure radiation – for which the solution of entangled relativity and general relativity seem to agree, despite an apparent ambiguity in the field equations. Based on these results, we argue that the external Schwarzschild metric is an appropriate mathematical idealization of a spherical black hole in entangled relativity. The extension to rotating cases is briefly discussed.