2014/02/06 by C. R. Argüelles, Carlos R. Argüelles, R. Ruffini +2 · 16 citations
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Critical point (mathematics) #Dark matter #Degeneracy (biology) #Degenerate energy levels #Fermion #Galaxy #Geometry #Halo #Parameter space #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #astro-ph.GA
paper · pdf · doi:10.3938/jkps.65.809
published in Journal of the Korean Physical Society 65(6), 809-813 (Springer Science+Business Media) · Reported at 13th Italian-Korean Meeting on Relativistic Astrophysics, 15-19 July 2013, Seoul (South Korea) Submitted to JKPS
arxiv created 2014/02/06 · openalex publication_date 2014/09/01 · arxiv updated 2014/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study an isothermal system of semidegenerate self-gravitating fermions in general relativity. Such systems present mass density solutions with a central degenerate core, a plateau and a tail, this last following a power law behavior r −2. The different solutions are governed by the free parameters of the model: the degeneracy and the temperature parameters at the center and the particle mass m. We then analyze in detail the free parameter space for a fixed m in the keV region, by studying the one-parameter sequences of equilibrium configurations up to the critical point, which is represented by the maximum in a central density (ρ 0) vs. core mass (M c ) diagram. We show that for fully degenerate cores, the known expression for the critical core mass M ∝ m 3 /m 2 is obtained, while for low degenerate cores, the critical core mass increases, showing temperature effects in a nonlinear way. The main result of this work is that when applying this theory to model the distribution of dark matter in galaxies from the very center to the outer halos, we do not find any critical corehalo configuration of self-gravitating fermions that would be able to explain the super-massive dark object in their centers and the outer halo simultaneously.