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

p { margin-bottom: 0.1in; direction: ltr; line-height: 120%; text-align: left; }a:link { } 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 dwa...

Full description

Bibliographic Details
Main Authors: R Ranjbar, M Roshan, SH Abbassi
Format: Article
Language:English
Published: Isfahan University of Technology 2019-09-01
Series:Iranian Journal of Physics Research
Subjects:
Online Access:http://ijpr.iut.ac.ir/article-1-2486-en.html
_version_ 1819026979971661824
author R Ranjbar
M Roshan
SH Abbassi
author_facet R Ranjbar
M Roshan
SH Abbassi
author_sort R Ranjbar
collection DOAJ
description p { margin-bottom: 0.1in; direction: ltr; line-height: 120%; text-align: left; }a:link { } 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.
first_indexed 2024-12-21T05:35:11Z
format Article
id doaj.art-bd2f34028fa340bb813bb7ee7e22c8f3
institution Directory Open Access Journal
issn 1682-6957
2345-3664
language English
last_indexed 2024-12-21T05:35:11Z
publishDate 2019-09-01
publisher Isfahan University of Technology
record_format Article
series Iranian Journal of Physics Research
spelling doaj.art-bd2f34028fa340bb813bb7ee7e22c8f32022-12-21T19:14:26ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642019-09-01192273283A simple model for accretion disks in the post-Newtonian approximationR Ranjbar0M Roshan1SH Abbassi2 Department of Physics, Faculty of Basic Sciences, Ferdowsi University of Mashhad, Mashhad, Iran Department of Physics, Faculty of Basic Sciences, Ferdowsi University of Mashhad, Mashhad, Iran Department of Physics, Faculty of Basic Sciences, Ferdowsi University of Mashhad, Mashhad, Iran p { margin-bottom: 0.1in; direction: ltr; line-height: 120%; text-align: left; }a:link { } 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.http://ijpr.iut.ac.ir/article-1-2486-en.htmlaccretion diskpost-Newtonian limitblack hole
spellingShingle R Ranjbar
M Roshan
SH Abbassi
A simple model for accretion disks in the post-Newtonian approximation
Iranian Journal of Physics Research
accretion disk
post-Newtonian limit
black hole
title A simple model for accretion disks in the post-Newtonian approximation
title_full A simple model for accretion disks in the post-Newtonian approximation
title_fullStr A simple model for accretion disks in the post-Newtonian approximation
title_full_unstemmed A simple model for accretion disks in the post-Newtonian approximation
title_short A simple model for accretion disks in the post-Newtonian approximation
title_sort simple model for accretion disks in the post newtonian approximation
topic accretion disk
post-Newtonian limit
black hole
url http://ijpr.iut.ac.ir/article-1-2486-en.html
work_keys_str_mv AT rranjbar asimplemodelforaccretiondisksinthepostnewtonianapproximation
AT mroshan asimplemodelforaccretiondisksinthepostnewtonianapproximation
AT shabbassi asimplemodelforaccretiondisksinthepostnewtonianapproximation
AT rranjbar simplemodelforaccretiondisksinthepostnewtonianapproximation
AT mroshan simplemodelforaccretiondisksinthepostnewtonianapproximation
AT shabbassi simplemodelforaccretiondisksinthepostnewtonianapproximation