2021/01/31 by Daniel Suárez-Urango, Luis A. Núñez, Suárez-Urango, D. +3
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #General Relativity and Quantum Cosmology (gr-qc) #High-pressure geophysics and materials
paper · pdf · doi:10.48550/arxiv.2102.00496
openalex publication_date 2021/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work we evaluate the physical acceptability of relativistic anisotropic spheres modeled by two polytropic equations of state -- with the same newtonian limit -- commonly used to describe compact objects in General Relativity. We integrate numerically the corresponding Lane-Emden equation in order to get density, mass and pressure profiles. An ansatz is used for the anisotropic pressure allowing us to have material configurations slightly deviated from isotropic condition. Numerical models are classified in a parameter space according to the number of physical acceptability conditions that they fulfil. We found that the polytropes considering total energy density are more stable than the second type of polytropic EoS.