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A way to probe alternative theories of gravitation is to study if they could account for the structures of the universe. We then modified the well-known Gadget-2 code to probe alternative theories of gravitation through galactic dynamics.…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-25 C. S. S. Brandao , J. C. N. de Araujo

In the weak field limit general relativity reduces, as is well known, to the Newtonian gravitation. Alternative theories of gravity, however, do not necessarily reduce to Newtonian gravitation; some of them, for example, reduce to…

Astrophysics of Galaxies · Physics 2014-11-20 C. S. S. Brandao , J. C. N. de Araujo

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

Alternative theories of gravity may serve to overcame several shortcomings of the standard cosmological model but, in their weak field limit, General Relativity must be recovered so as to match the tight constraints at the Solar System…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Mariafelicia De Laurentis , Ivan De Martino , Ruth Lazkoz

We use the Newtonian limit of a general scalar-tensor theory around a background field to study astrophysical effects. The gravitational theory modifies the standard Newtonian potential by adding a Yukawa term to it, which is quantified by…

Astrophysics · Physics 2011-06-09 J. L. Cervantes-Cota , M. A. Rodriguez-Meza , R. Gabbasov , J. Klapp

We present the first analysis of extended stellar kinematics of elliptical galaxies where a Yukawa--like correction to the Newtonian gravitational potential derived from f(R)-gravity is considered as an alternative to dark matter. In this…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 N. R. Napolitano , S. Capozziello , A. J. Romanowsky , M. Capaccioli , C. Tortora

We test a Yukawa correction to the Newtonian potential, making use of our own Galaxy - the Milky Way - as a testbed. We include as free parameter the Yukawa strength and range and the dark matter profile parameters, and compare several…

Astrophysics of Galaxies · Physics 2021-08-18 Jakob Henrichs , Margherita Lembo , Fabio Iocco , Luca Amendola

In this paper we investigate a Yukawa gravity modification of the Newtonian gravitational potential in a weak field approximation. For that purpose we derived the corresponding equations of motion and used them to perform two-body…

Astrophysics of Galaxies · Physics 2023-05-05 P. Jovanović , V. Borka Jovanović , D. Borka , A. F. Zakharov

The tests of the deviations from Newton's or Einstein's gravity in the Earth neighbourhood are tied to our knowledge of the shape and mass distribution of our planet. On the one hand estimators of these "modified" theories of gravity may be…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Joel Bergé , Philippe Brax , Martin Pernot-Borràs , Jean-Philippe Uzan

We have explored a completely new and alternative way to restrict the parameter space of Horndeski theory of gravity. Using its Newtonian limit, it is possible to test the theory at a regime where, given its complexity and the small…

General Relativity and Quantum Cosmology · Physics 2023-06-26 Riccardo Della Monica , Ivan de Martino , Daniele Vernieri , Mariafelicia de Laurentis

We discuss an extension of the massively parallel cosmological simulation code GADGET-2, which now enables investigation of multiple and distinct gravitational force laws, provided they are dominated by a constant scaling of the Newtonian…

Instrumentation and Methods for Astrophysics · Physics 2016-09-02 K. A. S. Croker

We present a new solution for the rotation curves of galactic disks with gravitational potential of the Yukawa type. We follow the technique employed by Toomre in 1963 in the study of galactic disks in the Newtonian theory. This new…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. C. N. de Araujo , O. D. Miranda

Many alternative theories of gravity screens a Yukawa-type potential. This article shows Keplerian-type parametrization as a solution of Yukawa type potential accurate equations of motion for two non-spinning compact objects moving in an…

General Relativity and Quantum Cosmology · Physics 2022-08-02 David Benisty

A viable alternative to the dark energy as a solution of the cosmic speed up problem is represented by Extended Theories of Gravity. Should this be indeed the case, there will be an impact not only on cosmological scales, but also at any…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 V. F. Cardone , S. Capozziello

We address the galaxy rotation curves through the Yukawa gravitational potential emerging as a correction of the Newtonian potential in extended theories of gravity. On the one hand, we consider the contribution of the galactic bulge,…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-03 Rocco D'Agostino , Kimet Jusufi , Salvatore Capozziello

Analytical $f(R)$-gravity models introduce Yukawa-like corrections to the Newtonian potential in the weak field limit. These models can explain the dynamics of galaxies and cluster of galaxies without requiring dark matter. To test the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 I. De Martino , M. De Laurentis , F. Atrio-Barandela , S. Capozziello

General relativity, treated as a low energy effective field theory, predicts quantum corrections to Newtons law of gravitation arising from loops of matter and graviton fields. While these corrections are negligible for the Standard Model…

High Energy Physics - Phenomenology · Physics 2025-12-17 Christopher Ewasiuk , Stefano Profumo

In the weak field approximation, the nonsymmetric gravitational theory has, in addition to the Newtonian gravitational potential, a Yukawa potential produced by the exchange of a spin $1^+$ boson between fermions. If the range $r_0$ is of…

Astrophysics · Physics 2015-06-24 J. W. Moffat

In a previous work (arXiv:1609.05654v2), an experimental setup aiming at the measurement of deviations from the Newtonian $1/r^2$ distance dependence of gravitational interactions was proposed. The theoretical idea behind this setup was to…

High Energy Physics - Phenomenology · Physics 2022-02-28 J. Baeza-Ballesteros , A. Donini , S. Nadal-Gisbert

A second gradient generalization of Newtonian gravity is presented within the framework of gradient field theory. Weak nonlocality is introduced via first and second gradients of the gravitational field strength in the Lagrangian density.…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Markus Lazar
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