Kinetic theory of collisionless self-gravitating gases. II. Relativistic corrections in galactic dynamics

Author(s)

Ramos-Caro, J. ^[1] ; Agon, C. A. ^[2] ; Pedraza, J. F. ^{[3, 4]}

Affiliation

^[1] Univ Estadual Campinas, IMECC, Dept Matemat Aplicada, BR-13083859 Sao Paulo - Brazil

^[2] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF - Mexico

^[3] Univ Texas Austin, Theory Grp, Dept Phys, Austin, TX 78712 - USA

^[4] Univ Texas Austin, Texas Cosmol Ctr, Austin, TX 78712 - USA

• Document type: Journal article
• Source: Physical Review D; v. 86, n. 4 AUG 15 2012.
• Web of Science Citations: 18

Abstract

In this paper we study the kinetic theory of many-particle astrophysical systems imposing axial symmetry and extending our previous analysis in Phys. Rev. D 83, 123007 (2011). Starting from a Newtonian model describing a collisionless self-gravitating gas, we develop a framework to include systematically the first general relativistic corrections to the matter distribution and gravitational potentials for general stationary systems. Then, we use our method to obtain particular solutions for the case of the Morgan and Morgan disks. The models obtained are fully analytical and correspond to the post-Newtonian generalizations of classical ones. We explore some properties of the models in order to estimate the importance of post-Newtonian corrections and we find that, contrary to the expectations, the main modifications appear far from the galaxy cores. As a by-product of this investigation we derive the corrected version of the tensor virial theorem. For stationary systems we recover the same result as in the Newtonian theory. However, for time dependent backgrounds we find that there is an extra piece that contributes to the variation of the inertia tensor. (AU)

• FAPESP's process: 09/16304-3 - POST-NEWTONIAN MODELS FOR SELF-GRAVITATING SYSTEMS
• Grantee: Javier Fernando Ramos Caro
• Support Opportunities: Scholarships in Brazil - Post-Doctoral