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Hydrostatic equilibrium and stellar structure in f(R)-gravity · Around

2010

Hydrostatic equilibrium and stellar structure in f(R)-gravity

Capozziello, S., De Laurentis, M., Odintsov, S. D. et al.

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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.

Built on

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