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We consider a deviation of the physical length from the Riemann geometry toward the Randers'. We construct a consistent second-order relativistic theory of gravity that dynamically reduces to the Einstein-Hilbert theory for the strong and…

General Relativity and Quantum Cosmology · Physics 2015-11-13 Qasem Exirifard

Although the modified dynamics (MOND) proposed by Milgrom successfully accounts for the systematics of galaxy rotation curves and cluster dynamics without invoking dark matter, the idea remains a largely ad hoc modification of Newtonian…

Astrophysics · Physics 2009-10-28 R. H. Sanders

Dark matter, a conjectured substance not directly observable but which has tremendous mass, was proposed to explain why galaxies hold together and rotate faster at their edges than predicted by Newton's Inverse Square (1/r2) Law of Gravity.…

Astrophysics of Galaxies · Physics 2013-05-30 Martin Wen-Yu Lo

Using dimensional analysis techniques we present an extension of Newton's gravitational theory built under the assumption that Milgrom's acceleration constant is a fundamental quantity of nature. The gravitational force converges to…

Astrophysics of Galaxies · Physics 2015-06-04 J. C. Hidalgo , S. Mendoza , X. Hernandez , T. Bernal , M. A. Jimenez , C. Allen

We discuss a comparison of models for the formation of disk galaxies both in a Universe dominated by cold dark matter (CDM) and one in which the force law is given by modified Newtonian dynamics (MOND). Our main aim is to address the claim…

Astrophysics · Physics 2007-05-23 Frank C. van den Bosch , Julianne J. Dalcanton

It is now, generally, believed that the presence of some form of dark matter is essential to explain the flat rotation curves of galaxies, and anomalous large velocities of galaxies in the clusters and superclusters. This dark matter turns…

Astrophysics · Physics 2007-05-23 Mofazzal Azam

We consider the density profile of pressureless dark matter in Eddington-inspired Born-Infeld (EiBI) gravity. The gravitational field equations are investigated for a spherically symmetric dark matter galactic halo, by adopting a…

General Relativity and Quantum Cosmology · Physics 2014-03-13 Tiberiu Harko , Francisco S. N. Lobo , M. K. Mak , Sergey V. Sushkov

Modified gravity theories such as Modified Newtonian Dynamics (MOND) and Scalar-Tensor-Vector Gravity (STVG) have been proposed as alternatives to dark matter, but decisive tests have been hindered by degeneracies between baryonic structure…

Astrophysics of Galaxies · Physics 2026-05-12 Zheng-long Wang , Yue-Lin Sming Tsai , Lan Zhang , Yin Wu , Haining Li , Xiang-Xiang Xue , Hongsheng Zhao , Yi-Zhong Fan

It is surprising that we hardly know only 5% of the universe. Rest of the universe is made up of 70% of dark-energy and 25% of dark-matter. Dark-energy is responsible for acceleration of the expanding universe; whereas dark-matter is said…

General Physics · Physics 2011-04-06 R. C. Gupta , Anirudh Pradhan

Modified Newtonian Dynamics (MOND) is a paradigm that can do away with dark matter at galaxy scales, but displays a residual missing mass discrepancy in galaxy clusters. Prompted by the updated JWST-based gravitational lens model of the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Benoit Famaey

Modified Newtonian dynamics (MOND) is an empirical theory originally proposed to explain the rotation curves of spiral galaxies by modifying the gravitational acceleration, rather than by invoking dark matter. Here,we set constraints on…

Astrophysics of Galaxies · Physics 2015-10-28 Fabio Iocco , Miguel Pato , Gianfranco Bertone

The huge amounts of undetected and exotic dark matter and dark energy needed to make general relativity work on large scales argue that we should investigate modifications of gravity. The only stable, metric-based and invariant alternative…

General Relativity and Quantum Cosmology · Physics 2018-07-06 R. P. Woodard

Despite the success of dark-matter models, unresolved issues require exploring alternatives such as modified gravity theories. In this context, we examine the compatibility of the Hyperconical Modified Gravity (HMG) with galaxy rotation…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-24 Robert Monjo

A number of theories of gravity have been proposed as proxies for dark matter in the regime of galaxies and cosmology. The recent observations of gravitational waves (GW170817) from the merger of two neutron stars, followed by an…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Constantinos Skordis , Tom Zlosnik

We resurrect Eddington's proposal for the gravitational action in the presence of a cosmological constant and extend it to include matter fields. We show that the Newton-Poisson equation is modified in the presence of sources and that…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-04 Maximo Banados , Pedro G. Ferreira

The physical processes defining the dynamics of disk galaxies are still poorly understood. Hundreds of articles have appeared in the literature over the last decades without arriving at an understanding within a consistent gravitational…

Astrophysics of Galaxies · Physics 2020-05-26 Klaus Wilhelm , Bhola N. Dwivedi

The recent years have seen combined measurements of X-ray and (weak) lensing contours for colliding galaxy clusters such as, for instance, the famous "Bullet" cluster. These observations have revealed offsets in the peaks of the baryonic…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Alexander Knebe , Claudio Llinares , Xufen Wu , HongSheng Zhao

Attractor solutions that give dynamical reasons for dark energy to act like the cosmological constant, or behavior close to it, are interesting possibilities to explain cosmic acceleration. Coupling the scalar field to matter or to gravity…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Jorge L. Cervantes-Cota , Roland de Putter , Eric V. Linder

A classical nonlocal generalization of Einstein's theory of gravitation has recently been developed via the introduction of a scalar causal "constitutive" kernel that must ultimately be determined from observational data. It turns out that…

Astrophysics of Galaxies · Physics 2014-05-14 S. Rahvar , B. Mashhoon

In the non-relativistic theory of gravitation recently proposed by Horava, the Hamiltonian constraint is not a local equation satisfied at each spatial point but an equation integrated over a whole space. The global Hamiltonian constraint…

High Energy Physics - Theory · Physics 2011-09-29 Shinji Mukohyama
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