Hydrostatic equilibrium and stellar structure in f(R)-gravity
By S. Capozziello, M. De Laurentis, Sergei D. Odintsov, A. Stabile. 2010
204 citations recorded by the source corpus.
Dipartimento di Ingegneria, Universita’ del Sannio,Palazzo Dell’Aquila Bosco Lucarelli, Corso Garibaldi, 107 - 82100, Benevento, Italy.(Dated: January 4, 2011)We investigate the hydrostatic equilibrium of stellar structure by taking into account the modi-fied Lan´e-Emden equation coming out from f(R)-gravity. Such an equation is obtained in metricapproach by considering the Newtonian limit of f(R)-gravity, which gives rise to a modified Poissonequation, and then introducing a relation between pressure and density with polytropic index n. Themodified equation results an integro-differential equation, which, in the limit f(R) → R, becomesthe standard Lan´e-Emden equation. We find the radial profiles of gravitational potential by solvingfor some values of n. The comparison of solutions with those coming from General Relativity showsthat they are compatible and physically relevant.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f4727ed859b99c38ddac89c60890d8118dd2a065
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In Astronomy and Astrophysics
- Diego Rubiera-García
- Aneta Wojnar
- G. Olmo
- Valerio Faraoni
- Tiberiu Harko
- Francisco S. N. Lobo
- Lavinia Heisenberg
- T. Sotiriou
In Nuclear and High Energy Physics
- Diego Rubiera-García
- Aneta Wojnar
- G. Olmo
- Valerio Faraoni
- Tiberiu Harko
- Francisco S. N. Lobo
- T. Sotiriou
Citations in the corpus
- Stellar structure models in modified theories of gravity: Lessons and challenges (2019, methodology): “in [123], and further refined by Farinelli et al.”