Self-gravitating systems of ideal gases in the 1PN approximation

We obtain the Maxwell-Jüttner distribution function at first order in the post-Newtonian approximation within the framework of general relativity. Taking into account the aforesaid distribution function, we compute the particle four-flow and energy-momentum tensor. We focus on the search of static s...

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Autor principal: Richarte, Martín Gustavo
Publicado: 2016
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n6_p_Kremer
http://hdl.handle.net/20.500.12110/paper_24700010_v93_n6_p_Kremer
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_24700010_v93_n6_p_Kremer2023-06-08T16:36:23Z Self-gravitating systems of ideal gases in the 1PN approximation Richarte, Martín Gustavo We obtain the Maxwell-Jüttner distribution function at first order in the post-Newtonian approximation within the framework of general relativity. Taking into account the aforesaid distribution function, we compute the particle four-flow and energy-momentum tensor. We focus on the search of static solutions for the gravitational potentials with spherical symmetry. In doing so, we obtain the density, pressure and gravitational potential energy profiles in terms of dimensionless radial coordinate by solving the aforesaid equations numerically. In particular, we find the parametric profile for the equation of state p/ρ in terms of the dimensionless radial coordinate. Due to its physical relevance, we also find the galaxy rotation curves using the post-Newtonian approximation. We join two different kinds of static solutions in order to account for the linear regime near the center and the typical flatten behavior at large radii as well. © 2016 American Physical Society. Fil:Richarte, M.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n6_p_Kremer http://hdl.handle.net/20.500.12110/paper_24700010_v93_n6_p_Kremer
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We obtain the Maxwell-Jüttner distribution function at first order in the post-Newtonian approximation within the framework of general relativity. Taking into account the aforesaid distribution function, we compute the particle four-flow and energy-momentum tensor. We focus on the search of static solutions for the gravitational potentials with spherical symmetry. In doing so, we obtain the density, pressure and gravitational potential energy profiles in terms of dimensionless radial coordinate by solving the aforesaid equations numerically. In particular, we find the parametric profile for the equation of state p/ρ in terms of the dimensionless radial coordinate. Due to its physical relevance, we also find the galaxy rotation curves using the post-Newtonian approximation. We join two different kinds of static solutions in order to account for the linear regime near the center and the typical flatten behavior at large radii as well. © 2016 American Physical Society.
author Richarte, Martín Gustavo
spellingShingle Richarte, Martín Gustavo
Self-gravitating systems of ideal gases in the 1PN approximation
author_facet Richarte, Martín Gustavo
author_sort Richarte, Martín Gustavo
title Self-gravitating systems of ideal gases in the 1PN approximation
title_short Self-gravitating systems of ideal gases in the 1PN approximation
title_full Self-gravitating systems of ideal gases in the 1PN approximation
title_fullStr Self-gravitating systems of ideal gases in the 1PN approximation
title_full_unstemmed Self-gravitating systems of ideal gases in the 1PN approximation
title_sort self-gravitating systems of ideal gases in the 1pn approximation
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n6_p_Kremer
http://hdl.handle.net/20.500.12110/paper_24700010_v93_n6_p_Kremer
work_keys_str_mv AT richartemartingustavo selfgravitatingsystemsofidealgasesinthe1pnapproximation
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