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

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

S. Capozziello
(
- Naples U. and
- INFN, Naples
)
,
M. De Laurentis
(
- Naples U. and
- INFN, Naples
)
,
S.D. Odintsov
(
- ICE, Bellaterra and
- Barcelona, IEEC and
- ICREA, Barcelona
)
,
A. Stabile
(
- Sannio U.
)

Jan, 2011

9 pages

Published in:

Phys.Rev.D 83 (2011) 064004

e-Print:

1101.0219 [gr-qc]

DOI:

10.1103/PhysRevD.83.064004

View in:

ADS Abstract Service

reference search263 citations

Citations per year

Abstract: (arXiv)

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.

04.50.Kd
04.25.Nx
04.40.Nr
gravitation: potential
gravitation: f(R)
approximation: nonrelativistic
pressure
Poisson equation
Alternative theories of gravity
newtonian and post-newtonian limit

References(23)

Figures(0)

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S. Capozziello
(
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- INFN, Naples
)
,
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(
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)
,
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)

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)
,
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(
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)

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S. Capozziello
(
- Naples U. and
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)
,
A. Stabile
(
- Sannio U. and
- INFN, Naples
)
,
A. Troisi
(
- Salerno U.
)

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