2016/03/31 by V. A. Berezin, V A Berezin, V. I. Dokuchaev +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Construct (python library) #Cosmology and Gravitation Theories #Diagonal #Extension (predicate logic) #Function (biology) #Metric (unit) #Relativity and Gravitational Theory #astro-ph.HE #gr-qc
paper · pdf · doi:10.1088/0264-9381/33/14/145003
published as Class. Quantum Grav. 33, 145003 (2016) · 15 pages, 9 updated figures
arxiv created 2016/06/20 · openalex publication_date 2016/06/20 · arxiv updated 2016/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The classical Vaidya metric is transformed to the special diagonal coordinates in the case of the linear mass function allowing rather easy treatment. We find the exact analytical expressions for metric functions in these diagonal coordinates. Using these coordinates, we elaborate the maximum analytic extension of the Vaidya metric with a linear growth of the black hole mass and construct the corresponding Carter–Penrose diagrams for different specific cases. The derived global geometry is also seemingly valid for a more general behavior of the black hole mass in the Vaidya metric.