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The nature of the gravitational interaction between ordinary and dark matter is still open. Any deviation from universality or the Newtonian law also modifies the standard assumption of collisionless dark matter. On the other hand,…

High Energy Physics - Theory · Physics 2010-12-14 Zurab Berezhiani , Fabrizio Nesti , Luigi Pilo , Nicola Rossi

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

The discovery of cosmic acceleration has stimulated theorists to consider dark energy or modifications to Einstein's General Relativity as possible explanations. The last decade has seen advances in theories that go beyond smooth dark…

A number of modified gravity theories (e.g., $f(R)$-gravity) lead to a Yukawa-like metric in the weak field limit which can be described by two Yukawa parameters, i.e., the strength $\kappa$ and the length scale $\lambda$. The S-stars,…

General Relativity and Quantum Cosmology · Physics 2024-02-05 Yuan Tan , Youjun Lu

Gravitational wave astronomy has placed strong constraints on fundamental physics, and there is every expectation that future observations will continue to do so. In this work we quantify this expectation for future binary merger…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Stephon Alexander , Evan McDonough , Robert Sims , Nicolas Yunes

Modified gravity theories have richer observational consequences for large-scale structure than conventional dark energy models, in that different observables are not described by a single growth factor even in the linear regime. We examine…

Astrophysics · Physics 2009-02-20 Bhuvnesh Jain , Pengjie Zhang

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

In spite of the growing observational evidence for dark matter and dark energy in the universe, their physical nature is largely unknown. In fact, several authors have proposed modifications of Newton's law of gravity at cosmological scales…

Astrophysics · Physics 2009-11-10 Akihito Shirata , Tetsuya Shiromizu , Naoki Yoshida , Yasushi Suto

The {\it concordance} cosmological model has been successfully tested throughout the last decades. Despite its successes, the fundamental nature of dark matter and dark energy is still unknown. Modifications of the gravitational action have…

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

In this lecture I address the issue of possible large distance modification of gravity and its observational consequences. Although, for the illustrative purposes we focus on a particular simple generally-covariant example, our conclusions…

High Energy Physics - Theory · Physics 2007-05-23 Gia Dvali

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

This article provides a cartoon of the quantization of General Relativity using the ideas of effective field theory. These ideas underpin the use of General Relativity as a theory from which precise predictions are possible, since they show…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. P. Burgess

We argue that the effect of cold dark matter in the cosmological setup can be explained by the coupling between the baryonic matter particles in terms of the long-range force having a graviton mass $m_g$ via the Yukawa gravitational…

General Relativity and Quantum Cosmology · Physics 2024-08-22 Kimet Jusufi , Genly Leon , Alfredo D. Millano

Several recent theories suggest that light moduli or particles in "large" extra dimensions could mediate macroscopic forces exceeding gravitational strength at length scales below a millimeter. Such new forces can be parameterized as a…

High Energy Physics - Experiment · Physics 2008-11-26 Andrew A. Geraci , Sylvia J. Smullin , David M. Weld , John Chiaverini , Aharon Kapitulnik

Corrections to Newton's gravitational law inspired by extra dimensional physics and by the exchange of light and massless elementary particles between the atoms of two macrobodies are considered. These corrections can be described by the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. M. Mostepanenko

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

The light scalar field with a coupling to standard model particles provide a possible source of the dark matter, long-range Yukawa forces or violation of the weak equivalence principle, which can be potentially explored by precision gravity…

General Relativity and Quantum Cosmology · Physics 2024-03-05 ChengGang Qin , XiaoYu Lu , BingChen Zhao , Jun Ke , AnBin Du , Jie Luo , YuJie Tan , ChengGang Shao

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

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
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