2021/04/30 by Daniel Suárez-Urango, J. Ospino, Héctor Hernández +1 · 14 citations
Physics and Astronomy · #Algorithm #Anisotropy #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Physics #Polytropic process #Pulsars and Gravitational Waves Research #Quantum mechanics #gr-qc
paper · pdf · open access · doi:10.1140/epjc/s10052-022-10119-0
published in The European Physical Journal C 82(2) (Springer Science+Business Media) · 31 pages, 11 figures
openalex created_date 2021/04/26 · arxiv created 2022/01/12 · openalex publication_date 2022/02/01 · arxiv updated 2022/03/14 · openalex updated_date 2026/08/05
This paper explored the physical acceptability conditions for anisotropic matter configurations in General Relativity. The study considered a generalized polytropic equation of state P=κργ+αρ-β for a heuristic anisotropy. We integrated the corresponding Lane-Emden equation for several hundred models and found the parameter-space portion ensuring the configurations' acceptability. Polytrope based on the total energy density are more stable than those with baryonic density, and small positive local anisotropies produce acceptable models. We also found that polytropic configurations where tangential pressures are greater than radial ones are also more acceptable. Finally, convective disturbances do not generate cracking instabilities. Several models emerging from our simulations could represent candidate of astrophysical compact objects.