Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-12-31
Phys.Rev.D83:064004,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, 1 figure
Scientific paper
10.1103/PhysRevD.83.064004
We investigate the hydrostatic equilibrium of stellar structure by taking into account the modi- fied La\'e-Emden equation coming out from f(R)-gravity. Such an equation is obtained in metric approach by considering the Newtonian limit of f(R)-gravity, which gives rise to a modified Poisson equation, and then introducing a relation between pressure and density with polytropic index n. The modified equation results an integro-differential equation, which, in the limit f(R) \rightarrow R, becomes the standard La\'e-Emden equation. We find the radial profiles of gravitational potential by solving for some values of n. The comparison of solutions with those coming from General Relativity shows that they are compatible and physically relevant.
Capozziello Salvatore
Laurentis Mariafelicia de
Odintsov Sergei D.
Stabile Adam A.
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