Volume 19, Issue 2 ((Iranian Journal of Physics Research,Summer 2019)                   IJPR 2019, 19(2): 273-283 | Back to browse issues page


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Ranjbar R, Roshan M, Abbassi S. A simple model for accretion disks in the post-Newtonian approximation. IJPR. 2019; 19 (2) :273-283
URL: http://ijpr.iut.ac.ir/article-1-2486-en.html
Department of Physics, Faculty of Basic Sciences, Ferdowsi University of Mashhad, Mashhad, Iran , mroshan@um.ac.ir
Abstract:   (468 Views)

In this paper, the evolution of accretion disks in the post-Newtonian limit has been investigated. These disks are formed around gravitational compact objects such as black holes, neutron stars, or white dwarfs. Although most analytical researches have been conducted in this context in the framework of Newtonian dynamics and gravity, it is necessary to consider the effects of relativity on the structure of disks near the central body. To this end, by adding the post-Newtonian corrections to the hydrodynamic equations of the fluids, the equations for the time transformation of the accretion disks at the post-Newtonian limit were obtained; by using this equation, the surface density of the disk, which is dependent on radius and time, is got quasi- analytically. Finally, we compare the time evolution of the accretion disks in Newtonian and post-Newtonian gravity.
 

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Type of Study: Research | Subject: Gravitation and Cosmology

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