A simple accretion model of a rotating gas sphere onto a Schwarzschild black hole

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dc.creatorHuerta, E. A.
dc.creatorMendoza, S.
dc.date2006-03-12
dc.date2007-01-19
dc.date.accessioned2026-07-07T10:28:16Z
dc.date.available2026-07-07T10:28:16Z
dc.descriptionWe construct a simple accretion model of a rotating pressureless gas sphere onto a Schwarzschild black hole. We show how to build analytic solutions in terms of Jacobi elliptic functions. This construction represents a general relativistic generalisation of the Newtonian accretion model first proposed by Ulrich (1976). In exactly the same form as it occurs for the Newtonian case, the flow naturally predicts the existence of an equatorial rotating accretion disc about the hole. However, the radius of the disc increases monotonically without limit as the flow reaches its maximum allowed angular momentum.
dc.description21 pages, 5 figures. Accepted for publication in RMA&A
dc.identifierhttps://arxiv.org/abs/gr-qc/0603039
dc.identifierhttp://arxiv.org/abs/gr-qc/0603039
dc.identifierRev.Mex.Astron.Astrofis.43:191-202,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177392
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleA simple accretion model of a rotating gas sphere onto a Schwarzschild black hole
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