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Nonuniqueness of stationary accretion in the Shakura model

2006/10/25 by Edward Malec, Krzysztof Roszkowski
Physics and Astronomy · #Accretion (finance) #Accretion disc #Algebraic number #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Boundary (topology) #Cosmology and Gravitation Theories #Luminosity #Newtonian fluid #Point (geometry) #astro-ph

paper · pdf · open access · doi:10.1088/1742-6596/66/1/012062

published in Journal of Physics Conference Series 66, 012062 (IOP Publishing) · 9 pages, 1 figure, talk presented during the XXIX Spanish Relativity Meeting (ERE 2006): Einstein's Legacy: From the Theoretical Paradise to Astrophysical Observations

arxiv created 2006/10/25 · openalex publication_date 2007/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the accretion onto luminous bodies with hard surfaces within the framework of newtonian theory. The accreting gases are assumed to be polytropes and their selfgravitation is included. A remarkable feature of the model is that under proper boundary conditions some parameters of the sonic point are the same as in the Bondi model and the relation between luminosity and the gas abundance reduces to an algebraic relation. All that holds under assumptions of stationarity and spherical symmetric. Assuming data that are required for the complete specification of the system, one finds that generically for a given luminosity there exist two solutions with different compact cores.

Citations