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Tidal disruptions by rotating black holes: relativistic hydrodynamics with Newtonian codes

2017/01/31 by Emilio Tejeda, E. Gafton, Emanuel Gafton +2 · 56 citations
Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Astrophysics #Black hole (networking) #Classical mechanics #Gamma-ray bursts and supernovae #Geodesic #Geometry #Newtonian fluid #Physics #Pulsars and Gravitational Waves Research #RADIUS #Relativistic quantum chemistry #Rotating black hole #Solving the geodesic equations #Spacetime #Tidal force #astro-ph.HE #gr-qc

paper · pdf · doi:10.1093/mnras/stx1089

published in Monthly Notices of the Royal Astronomical Society 469(4), 4483-4503 (Oxford University Press) · 22 pages, 13 figures, accepted for publication in Monthly Notices of the Royal Astronomical Society 2017

openalex publication_date 2017/05/05 · arxiv created 2017/05/24 · arxiv updated 2017/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose an approximate approach for studying the relativistic regime of stellar tidal disruptions by rotating massive black holes. It combines an exact relativistic description of the hydrodynamical evolution of a test fluid in a fixed curved space–time with a Newtonian treatment of the fluid's self-gravity. Explicit expressions for the equations of motion are derived for Kerr space–time using two different coordinate systems. We implement the new methodology within an existing Newtonian smoothed particle hydrodynamics code and show that including the additional physics involves very little extra computational cost. We carefully explore the validity of the novel approach by first testing its ability to recover geodesic motion, and then by comparing the outcome of tidal disruption simulations against previous relativistic studies. We further compare simulations in Boyer–Lindquist and Kerr–Schild coordinates and conclude that our approach allows accurate simulation even of tidal disruption events where the star penetrates deeply inside the tidal radius of a rotating black hole. Finally, we use the new method to study the effect of the black hole spin on the morphology and fallback rate of the debris streams resulting from tidal disruptions, finding that while the spin has little effect on the fallback rate, it does imprint heavily on the stream morphology, and can even be a determining factor in the survival or disruption of the star itself. Our methodology is discussed in detail as a reference for future astrophysical applications.

Citations