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1

Dipartimento di Ingegneria, Università del Sannio, Palazzo DellAquila Bosco Lucarelli, Corso Garibaldi, 107-82100 Benevento, Italy

2

Dipartimento di Fisica, Università di Napoli -Federico II-, Complesso Universitario di Monte SantAngelo, 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





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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





Author: Arturo Stabile 1,* and Salvatore Capozziello 2,3,4,*

Source: http://mdpi.com/



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