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Galaxies 2014, 2(4), 520-576; doi:10.3390/galaxies2040520

Self-Gravitating Systems in Extended Gravity

1
Dipartimento di Ingegneria, Università del Sannio, Palazzo Dell'Aquila Bosco Lucarelli, Corso Garibaldi, 107-82100 Benevento, Italy
2
Dipartimento di Fisica, Università di Napoli "Federico II", Complesso Universitario di Monte Sant'Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy
3
INFN Sezione di Napoli, Complesso Universitario di Monte Sant' Angelo, Ed. G, Via Cinthia, I-80126 Napoli, Italy
4
Gran Sasso Science Institute (INFN), Via F. Crispi 7, I-67100 L' Aquila, Italy
*
Authors to whom correspondence should be addressed.
Received: 21 July 2014 / Revised: 10 November 2014 / Accepted: 14 November 2014 / Published: 4 December 2014
(This article belongs to the Special Issue Beyond Standard Gravity and Cosmology)
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Abstract

Starting from the weak field limit, we discuss astrophysical applications of Extended Theories of Gravity where higher order curvature invariants and scalar fields are considered by generalizing the Hilbert-Einstein action linear in the Ricci curvature scalar R. Results are compared to General Relativity in the hypothesis that Dark Matter contributions to the dynamics can be neglected thanks to modified gravity. In particular, we consider stellar hydrostatic equilibrium, galactic rotation curves, and gravitational lensing. Finally, we discuss the weak field limit in the Jordan and Einstein frames pointing out how effective quantities, as gravitational potentials, transform from one frame to the other and the interpretation of results can completely change accordingly. View Full-Text
Keywords: Alternative Theories of Gravity; weak field limit; spherical symmetry; self-gravitating systems; conformal transformations Alternative Theories of Gravity; weak field limit; spherical symmetry; self-gravitating systems; conformal transformations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Stabile, A.; Capozziello, S. Self-Gravitating Systems in Extended Gravity. Galaxies 2014, 2, 520-576.

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