Keywords
methods: analytical
methods: numerical
stars: interiors
General Relativity and Quantum Cosmology
Astrophysics - High Energy Astrophysical Phenomena
methods: numerical
stars: interiors
General Relativity and Quantum Cosmology
Astrophysics - High Energy Astrophysical Phenomena
How to Cite
Stability Analysis of Relativistic Polytropes. (2021). Revista Mexicana De Astronomía Y Astrofísica, 57(2), 407-418. https://doi.org/10.22201/ia.01851101p.2021.57.02.13
Abstract
We study the relativistic self-gravitating, hydrostatic spheres with a polytropic equation of state, considering structures with the polytropic indices n=1(0.5)3 and illustrate the results for the relativistic parameters σ=0-0.75. We determine the critical relativistic parameter at which the mass of the polytrope has a maximum value and represents the first mode of radial instability. For n=1(0.5)2.5, stable relativistic polytropes occur for σ less than the critical values 0.42, 0.20, 0.10, and 0.04, respectively, while unstable relativistic polytropes are obtained when σ is greater than the same values. When n=3.0 and σ>0.5, energetically unstable solutions occur. The results of critical values are in full agreement with those evaluated by several authors. Comparisons between analytical and numerical solutions of the given relativistic functions provide a maximum relative error of order 10-3.Similar Articles
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