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A gravitational theory with derivative matter coupling is proposed which adopt de Sitter expansion at late times with ordinary baryonic matter. Matter components are conserved separately in the cosmological background and the Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Zahra Haghani , Shahab Shahidi

Recently proposed theories based on the cosmic presence of a vectorial field are compared and contrasted. In particular the so called Einstein aether theory is discussed in parallel with a recent proposal of a strained space-time theory…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Tartaglia , N. Radicella

A generalized quintessence model is presented which corresponds to a richer vacuum structure that, besides a time-dependent, slowly varying scalar field, contains a varying cosmological term. From first principles we determine a number of…

Astrophysics · Physics 2009-10-31 Pedro F. Gonzalez-Diaz

In the framework of Relativistic MOND theory (TeVeS), we show that a late time background $\Lambda$CDM cosmology can be attained by choosing a specific $F(\mu)$ that also meets the requirement for the existence of Newtonian and MOND limits.…

Astrophysics · Physics 2010-11-02 J. G. Hao , R. Akhoury

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

General relativity manifests very similar equations in different regimes, notably in large scale cosmological perturbation theory, non-linear cosmological structure formation, and in weak field galactic dynamics. The same is not necessarily…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-14 Daniel B Thomas , Ali Mozaffari , Tom Zlosnik

General relativity and its Newtonian weak field limit are not sufficient to explain the observed phenomenology in the Universe, from the formation of large-scale structures to the dynamics of galaxies, with the only presence of baryonic…

Astrophysics of Galaxies · Physics 2023-01-19 Valentina Cesare

We review some recent proposals for relativistic models of dark matter in the context of bimetric gravity. The aim is to solve the problems of cold dark matter (CDM) at galactic scales, and to reproduce the phenomenology of the modified…

General Relativity and Quantum Cosmology · Physics 2015-07-13 Laura Bernard , Luc Blanchet , Lavinia Heisenberg

We consider structure formation in a nonlocal, metric-based realization of Milgrom's MOdified Newtonian Dynamics (MOND). We derive the general equations for linearized scalar perturbations about the $\Lambda$CDM expansion history. These…

General Relativity and Quantum Cosmology · Physics 2018-05-22 L. Tan , R. P. Woodard

The iconic, deep-MOND-limit (DML) relation between acceleration and mass, $a\sim (M\mathcal{A}_0)^{1/2}/r$, implies that, in MOND, accelerations cannot be linear in the mass distribution ($\mathcal{A}_0\equiv Ga_0$ is the DML constant, and…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Mordehai Milgrom

We derive a relativistic extension of Modified Newtonian Dynamics (MOND) within the framework of entropic gravity by introducing temperature-dependent corrections to the equipartition law on a holographic screen. Starting from a Debye-like…

General Relativity and Quantum Cosmology · Physics 2025-11-11 A. Rostami , K. Rezazadeh , M. Rostampour

The debate in cosmology concerning LambdaCDM and MOND depends crucially on their respective ability of modelling across scales, and dealing with some of the specific problems that arise along the way. The main upshot of this article is to…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-26 Michela Massimi

A time-dependent model of space-time is used to describe the gravitational field of the sun. This model is a spherically symmetric approximate solution of Einstein's equations in vacuum. Near the sun it approximates one of the models…

General Relativity and Quantum Cosmology · Physics 2010-06-01 Ll. Bel

A new accelerating cosmology driven only by baryons plus cold dark matter (CDM) is proposed in the framework of general relativity. In this model the present accelerating stage of the Universe is powered by the negative pressure describing…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-06 J. A. S. Lima , J. F. Jesus , F. A. Oliveira

We propose a simple field theory reproducing the MOND phenomenology at galaxy scale, while predicting negligible deviations from general relativity at small scales thanks to an extended Vainshtein ("k-mouflage") mechanism induced by a…

General Relativity and Quantum Cosmology · Physics 2011-09-15 Eugeny Babichev , Cedric Deffayet , Gilles Esposito-Farese

MOND is a phenomenological modification of Newton's law of gravitation which reproduces the dynamics of galaxies, without the need for additional dark matter. This paper reviews the basics of MOND and its application to dwarf galaxies. MOND…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Arthur Kosowsky

This is a short overview of spatially flat (or open) four-dimensional accelerating cosmologies for some simple exponential potentials obtained by string or M theory compactification on some non-trivial curved spaces, which may lead to some…

High Energy Physics - Theory · Physics 2009-11-10 Ishwaree P. Neupane

Purely baryonic dark matter dominated models like MOND based on modification of Newtonian gravity have been successfully in reproducing some dynamical properties of galaxies. More recently, a relativistic formulation of MOND proposed by…

Astrophysics · Physics 2009-11-13 Anze Slosar , Alessandro Melchiorri , Joseph Silk

Many candidate fundamental theories contain scalar fields that can acquire spacetime-varying expectation values in a cosmological context. Such scalars typically obey Lorentz-violating effective dispersion relations. We illustrate this fact…

Astrophysics · Physics 2009-11-10 Orfeu Bertolami , Ralf Lehnert , Robertus Potting , Andre Ribeiro

The idea that the cosmological term, Lambda, should be a time dependent quantity in cosmology is a most natural one. It is difficult to conceive an expanding universe with a strictly constant vacuum energy density, namely one that has…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-18 Joan Sola