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arXiv · 0910.1627

Axially Symmetric Post-Newtonian Stellar Systems

Camilo Akimushkin·Javier Ramos-Caro·Guillermo A. González
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Abstract

We introduce a method to obtain self-consistent, axially symmetric, thin disklike stellar models in the first post-Newtonian (1PN) approximation. The models obtained are fully analytical and corresponds to the post-Newtonian generalizations of classical ones. By introducing in the field equations provided by the 1PN approximation a known distribution function (DF) corresponding to a Newtonian model, two fundamental equations determining the 1PN corrections are obtained, which are solved using the Hunter method. The rotation curves of the 1PN-corrected models differs from the classical ones and, for the generalized Kalnajs discs, the 1PN corrections are clearly appreciable with values of the mass and radius of a typical galaxy. On the other hand, the relativistic mass correction can be ignored for all models.

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Camilo Akimushkin, Javier Ramos-Caro, Guillermo A. González. 2009-10-08. Axially Symmetric Post-Newtonian Stellar Systems. https://arxiv.org/abs/0910.1627

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