Post-Newtonian Jeans Equation for Stationary and Spherically Symmetrical Self-Gravitating Systems

Universe

Gilberto Medeiros Kremer¹ 

[1] Departamento de Física, Universidade Federal do Paraná, Curitiba 81531-980, Brazil;

关键词: post-Newtonian theory;    Boltzmann equation;    Jeans equation;    self-gravitating systems;   

DOI  :  10.3390/universe8030179

来源: DOAJ

【 摘 要 】

The post-Newtonian Jeans equation for stationary self-gravitating systems is derived from the post-Newtonian Boltzmann equation in spherical coordinates. The Jeans equation is coupled with the three Poisson equations from the post-Newtonian theory. The Poisson equations are functions of the energy-momentum tensor components which are determined from the post-Newtonian Maxwell–Jüttner distribution function. As an application, the effect of a central massive black hole on the velocity dispersion profile of the host galaxy is investigated and the influence of the post-Newtonian corrections are determined.

【 授权许可】

Unknown