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Fundamental Plane of Elliptical Galaxies in f(R) Gravity: The Role of Luminosity

1
Atomic Physics Laboratory (040), Vinča Institute of Nuclear Sciences, University of Belgrade, P.O. Box 522, 11001 Belgrade, Serbia
2
Astronomical Observatory, Volgina 7, P.O. Box 74, 11060 Belgrade, Serbia
3
Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy
4
Istituto Nazionale di Fisica Nucleare (INFN) Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy
5
Gran Sasso Science Institute, Viale F. Crispi, 7, I-67100 L’Aquila, Italy
*
Author to whom correspondence should be addressed.
Received: 22 November 2018 / Revised: 25 December 2018 / Accepted: 28 December 2018 / Published: 31 December 2018
(This article belongs to the Special Issue SPIG2018)
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Abstract

The global properties of elliptical galaxies are connected through the so-called fundamental plane of ellipticals, which is an empirical relation between their parameters: effective radius, central velocity dispersion and mean surface brightness within the effective radius. We investigated the relation between the parameters of the fundamental plane equation and the parameters of modified gravity potential f ( R ) . With that aim, we compared theoretical predictions for circular velocity in f ( R ) gravity with the corresponding values from a large sample of observed elliptical galaxies. Besides, we consistently reproduced the values of coefficients of the fundamental plane equation as deduced from observations, showing that the photometric quantities like mean surface brightness are related to gravitational parameters. We show that this type of modified gravity, especially its power-law version— R n , is able to reproduce the stellar dynamics in elliptical galaxies. In addition, it is shown that R n gravity fits the observations very well, without the need for a dark matter. View Full-Text
Keywords: modified theories of gravity; methods: analytical; methods: numerical; galaxies: elliptical; galaxies: fundamental parameters modified theories of gravity; methods: analytical; methods: numerical; galaxies: elliptical; galaxies: fundamental parameters
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Borka Jovanović, V.; Jovanović, P.; Borka, D.; Capozziello, S. Fundamental Plane of Elliptical Galaxies in f(R) Gravity: The Role of Luminosity. Atoms 2019, 7, 4.

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