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The modified Lane-Emden equation for stellar hydrostatic equilibrium inf(R)-gravity is numerically solved by using an iterative procedure. Such anintegro-differential equation can be obtained in the weak field limitapproximation of f(R)-gravity by considering a suitable polytropic equation ofstate in the modified Poisson equation. The approach allows, in principle, todeal with still unexplored self-graviting systems that could account for exoticstellar structures that escape standard stellar theory.

Numerical solutions of the modified Lane-Emden equation in f(R)-gravity