Hydrostatic equilibrium and stellar structure in f(R) gravity

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.064004· OSTI ID:21537524

Capozziello, S; De Laurentis, M ^[1]; Odintsov, S D ^[2]; Stabile, A ^[3]

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1. Dipartimento di Scienze Fisiche, Universita' di Napoli 'Federico II', INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Napoli (Italy)
2. Institucio Catalana de Recerca i Estudis Avancats (ICREA) and Institut de Ciencies de l Espai (IEEC-CSIC), Campus UAB, Facultat de Ciencies, Torre C5-Par-2a pl, E-08193 Bellaterra, Barcelona (Spain)
3. Dipartimento di Ingegneria, Universita del Sannio, Palazzo Dell'Aquila Bosco Lucarelli, Corso Garibaldi, 107-82100, Benevento (Italy)

We investigate the hydrostatic equilibrium of stellar structure by taking into account the modified Lane-Emden equation coming out from f(R) gravity. Such an equation is obtained in a 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){yields}R, becomes the standard Lane-Emden equation. We find the radial profiles of the 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.

• OSTI ID: 21537524
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevD.83.064004; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
COMPARATIVE EVALUATIONS
DENSITY
EQUILIBRIUM
GENERAL RELATIVITY THEORY
GRAVITATION
INTEGRO-DIFFERENTIAL EQUATIONS
NONLUMINOUS MATTER
POISSON EQUATION
SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
EVALUATION
FIELD THEORIES
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
RELATIVITY THEORY