2009/10/08 by Camilo Akímushkin, Camilo Akimushkin, Akimushkin, Camilo +5
Physics and Astronomy · #FOS: Physical sciences #Gamma-ray bursts and supernovae #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #Stellar, planetary, and galactic studies #gr-qc
paper · pdf · doi:10.48550/arxiv.0910.1627
13 pages, 4 figures, to be published at Rev.Integr.Temas Mat
arxiv created 2009/10/08 · openalex publication_date 2009/10/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.