2016/07/31 by August J. Miller, August J Miller, Thomas W. Baumgarte +1 · 7 citations
Physics and Astronomy · #Accretion (finance) #Accretion disc #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Computer simulation #Flow (mathematics) #Inflow #Pulsars and Gravitational Waves Research #Spacetime #gr-qc
paper · pdf · doi:10.1088/1361-6382/aa51fe
published in Classical and Quantum Gravity 34(3), 035007 (IOP Publishing) · 14 pages, 5 figures; matches version published in CQG
openalex created_date 2016/07/22 · openalex publication_date 2017/01/05 · arxiv created 2017/01/24 · arxiv updated 2017/01/25 · openalex updated_date 2026/08/06
Abstract The Bondi solution, which describes the radial inflow of a gas onto a non-rotating black hole, provides a powerful test for numerical relativistic codes. However, the Bondi solution is usually derived in Schwarzschild coordinates, which are not well suited for dynamical spacetime evolutions. Instead, many current numerical relativistic codes adopt moving-puncture coordinates, which render black holes in trumpet geometries. Here we transform the Bondi solution into trumpet coordinates, which result in regular expressions for the fluid flow extending into the black-hole interior. We also evolve these solutions numerically and demonstrate their usefulness for testing and calibrating numerical codes.