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...

Descripción completa

Detalles Bibliográficos
Autores principales:	Kremer, G.M., Richarte, M.G., Weber, K.
Formato:	JOUR
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_24700010_v93_n6_p_Kremer
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_24700010_v93_n6_p_Kremer
record_format	dspace
spelling	todo:paper_24700010_v93_n6_p_Kremer2023-10-03T16:41:56Z Self-gravitating systems of ideal gases in the 1PN approximation Kremer, G.M. Richarte, M.G. Weber, K. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format	JOUR
author	Kremer, G.M. Richarte, M.G. Weber, K.
spellingShingle	Kremer, G.M. Richarte, M.G. Weber, K. Self-gravitating systems of ideal gases in the 1PN approximation
author_facet	Kremer, G.M. Richarte, M.G. Weber, K.
author_sort	Kremer, G.M.
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
url	http://hdl.handle.net/20.500.12110/paper_24700010_v93_n6_p_Kremer
work_keys_str_mv	AT kremergm selfgravitatingsystemsofidealgasesinthe1pnapproximation AT richartemg selfgravitatingsystemsofidealgasesinthe1pnapproximation AT weberk selfgravitatingsystemsofidealgasesinthe1pnapproximation
_version_	1807321885270081536

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

Ejemplares similares