Capozziello, S. and De Laurentis, M. (2015) Stellar structures in Extended Gravity. Il nuovo cimento C, 38 (5). pp. 1-12. ISSN 1826-9885
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Abstract
Stellar structures are investigated by considering the modified Lan´e- Emden equation coming out from Extended Gravity. In particular, this equation is obtained in the Newtonian limit of f(R)-gravity by introducing a polytropic relation between the pressure and the density into the modified Poisson equation. The result is an integro-differential equation, which, in the limit f(R) → R, becomes the standard Lan´e-Emden equation usually adopted in the stellar theory. We find the radial profiles of gravitational potential by solving for some values of the polytropic index. The solutions are compatible with those coming from General Relativity and could be physically relevant in order to address peculiar and extremely massive objects.
| Item Type: | Article |
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| Uncontrolled Keywords: | Post-Newtonian approximation; perturbation theory; related approximations; Modified theories of gravity; Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields; Stellar structure, interiors, evolution, nucleosynthesis, ages |
| Subjects: | 500 Scienze naturali e Matematica > 530 Fisica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 23 Jun 2020 08:48 |
| Last Modified: | 23 Jun 2020 08:48 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/19145 |
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