Changes in the global parameters of polytropic stars induced by the appearance of the soft core

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The effect of a soft phase core appearance in the center of polytropic star is analyzed by means of linear response theory. Approximate formulae for the changes of radius, moment of inertia and mass-energy of non-rotating configuration with arbitrary adiabatic indices are presented, followed by an example evaluation of astrophysical observables.
9 pages, 2 figures, submitted to APP B

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