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arXiv · 1311.2744

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

R. Farinelli·M. De Laurentis·S. Capozziello·S. D. Odintsov
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Abstract

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

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R. Farinelli, M. De Laurentis, S. Capozziello, S. D. Odintsov. 2013-11-12. Numerical solutions of the modified Lane-Emden equation in f(R)-gravity. https://doi.org/10.1093/mnras%2Fstu423

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