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Without observational or theoretical modifications, Newtonian and general relativity seem to be unable to explain gravitational behavior of large structure of the universe. The assumption of dark matter solves this problem without modifying…

General Physics · Physics 2015-07-01 Stéphane Le Corre

The premier alternative to the dark matter paradigm is modified gravity. Following an introduction to the relevant phenomenology of galaxies, I review the MOND paradigm, an effective summary of the observations which any theory must…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-25 Jacob D. Bekenstein

This note presents a simple argument showing that dark matter is an effect of $f(R)$ gravity based on the definition of slightly modified gravitational theories previously proposed by the author.

General Relativity and Quantum Cosmology · Physics 2014-09-15 Peter K. F. Kuhfittig

In this work, we propose different models of extended theories of gravity, which are minimally coupled to the SM fields, to explain the possibility of a dark matter (DM) candidate, without ad-hoc additions to the Standard Model (SM). We…

High Energy Physics - Theory · Physics 2016-11-28 Sayantan Choudhury , Manibrata Sen , Soumya Sadhukhan

We disclose a close correspondence between Verlinde's Emergent Gravity (VEG) theory and the non-local gravity theories. Such non-local effects can play crucial role at small distances as well as in large scale structures. In particular, we…

General Relativity and Quantum Cosmology · Physics 2023-06-30 Kimet Jusufi , Ahmad Sheykhi , Salvatore Capozziello

In this work the phenomenology of models possessing a non-minimal coupling between matter and geometry is discussed, with a particular focus on the possibility of describing the flattening of the galactic rotation curves as a dynamically…

Astrophysics of Galaxies · Physics 2015-05-18 Orfeu Bertolami , Jorge Páramos

Although general relativity (GR) passes all present experimental tests with flying colors, it remains important to study alternative theories of gravity for several theoretical and phenomenological reasons that we recall in these lecture…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Gilles Esposito-Farese

Modifications of General Relativity generically contain additional degrees of freedom that can mediate forces between matter particles. One of the common manifestations of a fifth force in alternative gravity theories is a difference…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-22 Camille Bonvin , Levon Pogosian

The observed matter in the universe accounts for just 5 percent of the observed gravity. A possible explanation is that Newton's and Einstein's theories of gravity fail where gravity is either weak or enhanced. The modified theory of…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Pedro G. Ferreira , Glenn Starkmann

We propose a formulation of gravity theory in the form of a field theory in a flat space-time with a number of dimensions greater than four. Configurations of the field under consideration describe the splitting of this space-time into a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 S. A. Paston

Extended Theories of Gravity can be considered a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales. They are an approach that, by preserving the undoubtedly positive results of Einstein's Theory, is…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Salvatore Capozziello , Mariafelicia De Laurentis

By relaxing the conventional assumption of a purely gravitational interaction between dark energy and dark matter, substantial alterations to the growth of cosmological structure can occur. In this work we focus on the homogeneous transfer…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-08 Fergus Simpson , Brendan M. Jackson , John A. Peacock

In the 1960s and 1970s a series of observations and theoretical developments highlighted the presence of several anomalies which could, in principle, be explained by postulating one of the following two working hypotheses: (i) the existence…

History and Philosophy of Physics · Physics 2025-07-17 Antonis Antoniou

Recently, an interesting gravitational model was proposed in order to mimic the effect of Dark Matter. Chamseddine and Mukhanov in the arXiv preprint 1308.5410 have separated the conformal mode of a physical metric in the form of a squared…

General Relativity and Quantum Cosmology · Physics 2013-12-02 Alexey Golovnev

The status of a modification of General Relativity (GR) -- Spontaneously Broken Relativity (SBR) -- for merging gravity, dark energy (DE) and dark matter (DM) is presented. The modification is principally grounded on a multiscalar-metric…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Yu. F. Pirogov , O. V. Zenin

This paper is devoted to the approach to gravity as a theory of a surface embedded in a flat ambient space. After the brief review of the properties of original theory by Regge and Teitelboim we concentrate on its field-theoretic…

General Relativity and Quantum Cosmology · Physics 2021-08-03 A. A. Sheykin , S. A. Paston

An alternative approach to Einstein's theory of General Relativity (GR) is reviewed, which is motivated by a range of serious theoretical issues inflicting the theory, such as the cosmological constant problem, presence of non-Machian…

General Physics · Physics 2016-07-13 Ram Gopal Vishwakarma

Verlinde suggested a new theory of gravity called ``emergent gravity,'' which resembles Modified Newtonian Dynamics, the alternative to dark matter theory. For his version of Milgrom's constant, he theoretically derived…

General Physics · Physics 2025-08-21 Youngsub Yoon , Ho Seong Hwang

Some time ago, it has been suggested that gravitons can acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields [Chamseddine and Mukhanov, JHEP, 2010]. Taking this…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Kimet Jusufi , Ahmed Farag Ali , Abdelrahman Yasser , Nader Inan , A. Y. Ellithi

We present a bi-metric theory of gravity containing a length scale of galactic size. For distances less than this scale the theory satisfies the standard tests of General Relativity. For distances greater than this scale the theory yields…

Astrophysics · Physics 2009-10-31 I. T. Drummond