Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/60989
Type: Artigo de periódico
Title: Kinetic theory of collisionless self-gravitating gases: Post-Newtonian polytropes
Author: Agon, CA
Pedraza, JF
Ramos-Caro, J
Abstract: In this paper we study the kinetic theory of many-particle astrophysical systems and we present a consistent version of the collisionless Boltzmann equation in the first post-Newtonian (1PN) approximation. We argue that the equation presented by Rezania and Sobouti, in Astron. Astrophys. 354, 1110 (2000) is not the correct expression to describe the evolution of a collisionless self-gravitating gas. One of the reasons that account for the previous statement is that the energy of a free-falling test particle, obeying the 1PN equations of motion for static gravitational fields, is not a static solution of the mentioned equation. The same statement holds for the angular momentum, in the case of spherical systems. We provide the necessary corrections and obtain an equation that is consistent with the corresponding equations of motion and the 1PN conserved quantities. We suggest some potential relevance for the study of high-density astrophysical systems and as an application we construct the corrected version of the post-Newtonian polytropes.
Country: EUA
Editor: Amer Physical Soc
Rights: aberto
Identifier DOI: 10.1103/PhysRevD.83.123007
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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