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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…

Astrophysics of Galaxies · Physics 2018-12-31 Vesna Borka Jovanović , Predrag Jovanović , Duško Borka , Salvatore Capozziello

We show that fundamental plane of elliptical galaxies can be used to obtain observational constraints on metric theories of gravity. Being it connected to global properties of ellipticals, it can fix parameters of modified gravity.…

General Relativity and Quantum Cosmology · Physics 2020-04-27 Salvatore Capozziello , Vesna Borka Jovanović , Duško Borka , Predrag Jovanović

We consider possible signatures for the so called {\it hybrid gravity} within the Galactic Central Parsec. This modified theory of gravity consists of a superposition of the metric Einstein-Hilbert Lagrangian with an $f(R)$ term constructed…

General Relativity and Quantum Cosmology · Physics 2016-04-20 D. Borka , S. Capozziello , P. Jovanović , V. Borka Jovanović

The non-equivalence between the metric and Palatini formalisms of $f(R)$ gravity is an intriguing feature of these theories. However, in the recently proposed hybrid metric-Palatini gravity, consisting of the superposition of the metric…

General Relativity and Quantum Cosmology · Physics 2013-08-23 Salvatore Capozziello , Tiberiu Harko , Francisco S. N. Lobo , Gonzalo J. Olmo

Studies of the Fundamental Plane of early-type galaxies, from small to intermediate redshifts, are often carried out under the guiding principle that the Fundamental Plane reflects the existence of an underlying mass-luminosity relation for…

Astrophysics · Physics 2015-06-24 Giuseppe Bertin

Recently, the phenomenology of f(R) gravity has been scrutinized motivated by the possibility to account for the self-accelerated cosmic expansion without invoking dark energy sources. Besides, this kind of modified gravity is capable of…

General Relativity and Quantum Cosmology · Physics 2015-08-28 Salvatore Capozziello , Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

In this work, we study cosmological and astrophysical applications of the recently proposed generalized hybrid metric-Palatini gravity theory, which combines features of both the metric and the Palatini approaches to the variational method…

General Relativity and Quantum Cosmology · Physics 2019-11-20 João Luís Rosa

Palatini $f(R)$ gravity is probably the simplest extension of general relativity (GR) and the simplest realization of a metric-affine theory. It has the same number of degrees of freedom as GR and, in vacuum, it is straightforwardly mapped…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Alejandro Hernandez-Arboleda , Davi C. Rodrigues , Júnior D. Toniato , Aneta Wojnar

Aims. We investigated the gravitational effects of a scalar field within scalar-tensor gravity as an alternative to dark matter. Motivated by chameleon, symmetron and f(R)-gravity models, we studied a phenomenological scenario where the…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-24 David F. Mota , Vincenzo Salzano , Salvatore Capozziello , Nicola R. Napolitano

Hybrid metric-Palatini gravity is a recently proposed theory, consisting of the superposition of the metric Einstein-Hilbert Lagrangian with an $f(\cal R)$ term constructed \`{a} la Palatini. The theory predicts the existence of a…

We investigate the velocity distribution of elliptical galaxies in the framework of Non-local Gravity. According to this approach, it is possible to recover the fundamental plane of elliptical galaxies without the dark matter hypothesis.…

General Relativity and Quantum Cosmology · Physics 2022-09-07 D. Borka , V. Borka Jovanović , Salvatore Capozziello , P. Jovanović

Generally, the dynamics of test particles around galaxies, as well as the corresponding mass deficit, is explained by postulating the existence of a hypothetical dark matter. In fact, the behavior of the rotation curves shows the existence…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Salvatore Capozziello , Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

Here we use the samples of spiral and elliptical galaxies, in order to investigate theoretically some of their properties and to test the empirical relations, in the light of modified gravities. We show that the baryonic Tully-Fisher…

Astrophysics of Galaxies · Physics 2025-04-16 V. Borka Jovanović , D. Borka , P. Jovanović

Elliptical galaxies have been observed to cluster near a ribbon along a two-dimensional plane (the Fundamental Plane of Elliptical Galaxies) in the three dimensional space of effective radius, effective surface brightness and central…

Astrophysics · Physics 2016-08-30 S. E. Levine

Observations consistently show that elliptical galaxies follow a tight "fundamental plane" scaling relation between size, mean surface brightness and velocity dispersion, with the form $R \propto \sigma^{a}\mu^{b}$. This relation not only…

Astrophysics of Galaxies · Physics 2015-06-19 Dan S. Taranu , John Dubinski , H. K. C. Yee

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the…

General Relativity and Quantum Cosmology · Physics 2009-05-26 T. Harko

Solar-System constraints on a general scalar-tensor theory with generic non-minimal coupling function, non-canonical kinetic function, and scalar potential, are investigated in both the metric and Palatini formalisms. A unified…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Alexandros Karam , Samuel Sánchez López , José Jaime Terente Díaz

It is known that the metric and Palatini formalisms of gravity theories have their own interesting features but also suffer from some different drawbacks. Recently, a novel gravity theory called hybrid metric-Palatini gravity was put…

General Relativity and Quantum Cosmology · Physics 2016-07-13 Qi-Ming Fu , Li Zhao , Yu-Xiao Liu

We introduce a new approach to modified gravity which generalizes the recently proposed hybrid metric-Palatini gravity. The gravitational action is taken to depend on a general function of both the metric and Palatini curvature scalars. The…

General Relativity and Quantum Cosmology · Physics 2015-10-09 Nicola Tamanini , Christian G. Boehmer

Hybrid metric-Palatini gravity unifies the metric and Palatini formalisms while preserving a propagating scalar degree of freedom, offering a compelling route to modified gravity consistent with current observations. Motivated by this…

General Relativity and Quantum Cosmology · Physics 2026-03-26 David S. Pereira , Salvatore Capozziello , Francisco S. N Lobo , José Pedro Mimoso
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