Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Complesso di Monte Sant’Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy
Duško Borka
Atomic Physics Laboratory (040), Vinča Institute of Nuclear Sciences, University of Belgrade, P.O. Box 522, 11001 Belgrade, Serbia
Vesna Borka Jovanović
Atomic Physics Laboratory (040), Vinča Institute of Nuclear Sciences, University of Belgrade, P.O. Box 522, 11001 Belgrade, Serbia
Predrag Jovanović
Astronomical Observatory, Volgina 7, P.O. Box 74, 11060 Belgrade, Serbia
We demonstrate that the existence of a Noether symmetry in f ( R ) theories of gravity gives rise to an additional gravitational radius, besides the standard Schwarzschild one, determining the dynamics at galactic scales. By this feature, it is possible to explain the baryonic Tully-Fisher relation and the rotation curve of gas-rich galaxies without the dark matter hypothesis. Furthermore, under the same standard, the Fundamental Plane of elliptical galaxies can be addressed.
