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

作者：Farinelli R^*; De Laurentis M; Capozziello S; Odintsov S D

来源：Monthly Notices of the Royal Astronomical Society, 2014, 440(3): 2909-2915.

DOI：10.1093/mnras/stu423

• equation of state
• gravitation
• hydrodynamics
• methods: numerical

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-gravitating systems that could account for exotic stellar structures that escape standard stellar theory.

• 出版日期2014-5