2010/08/03 by Yuki Kanai, Masaru Siino, Akio Hosoya · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.1143/ptp.125.1053
published as Prog.Theor.Phys.125:1053-1065,2011
arxiv created 2010/08/03 · openalex publication_date 2011/05/01 · arxiv updated 2011/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a simple expression for the spherical gravitational collapse in a single coordinate patch. To describe the dynamics of collapse, we use a generalized form of the Painlevé-Gullstrand coordinates in the Schwarzschild spacetime. The time coordinate of the form is the proper time of a free-falling observer so that we can describe the collapsing star not only outside but also inside the event horizon in a single coordinate patch. We show the both cases corresponding to the gravitational collapse from infinity and from a finite radius.