A simple model for accretion disks in the post-Newtonian approximation

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RANJBAR R.; ROSHAN M.; ABBASSI SH.

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ISSN: 2588-4824

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Journal: Iranian Journal of Physics Research Year:2019 | Volume:19 | Issue:2 Page(s): 273-283

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Title

A simple model for accretion disks in the post-Newtonian approximation

Author(s)

RANJBAR R. | ROSHAN M. | ABBASSI SH. | Issue Writer Certificate

Keywords

accretion diskQ1

post-Newtonian limitQ1

black holeQ1

Abstract

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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APA: Copy

RANJBAR, R., ROSHAN, M., & ABBASSI, SH.. (2019). A simple model for accretion disks in the post-Newtonian approximation. IRANIAN JOURNAL OF PHYSICS RESEARCH, 19(2 ), 273-283. SID. https://sid.ir/paper/1635/en

Vancouver: Copy

RANJBAR R., ROSHAN M., ABBASSI SH.. A simple model for accretion disks in the post-Newtonian approximation. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2019;19(2 ):273-283. Available from: https://sid.ir/paper/1635/en

IEEE: Copy

R. RANJBAR, M. ROSHAN, and SH. ABBASSI, “A simple model for accretion disks in the post-Newtonian approximation,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 19, no. 2 , pp. 273–283, 2019, [Online]. Available: https://sid.ir/paper/1635/en

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