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In the last two decades, Modified Gravity (MG) models have been proposed to explain the accelerated expansion of the Universe. However, one of the main difficulties these theories face is that they must reduce to General Relativity (GR) at…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Alejandro Aviles

Modified Newtonian Dynamics (MOND) is a gravitational framework designed to explain the astronomical observations in the Universe without the inclusion of particle dark matter. Modified Newtonian Dynamics, in its current form, cannot…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Alistair Hodson , Hongsheng Zhao

We use a sample of galaxies from the Two Micron All Sky Survey (2MASS) Extended Source Catalog to refine a matched filter method of finding galaxy clusters that takes into account each galaxy's position, magnitude, and redshift if…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-08 Jeffrey A. Blackburne , Christopher S. Kochanek

Under the assumption that General Relativity (GR) correctly describes the phenomenology of our Universe, astronomical observations provide compelling evidence that (1) the dynamics of cosmic structure is dominated by dark matter (DM), an…

Astrophysics · Physics 2008-02-19 A. Diaferio

In a previous paper we presented a typical set of galactic rotation curves associated with the linear gravitational potential of the conformal invariant fourth order theory of gravity which has recently been advanced by Mannheim and Kazanas…

Astrophysics · Physics 2009-09-25 PHILIP D. MANNHEIM

An important piece of evidence for dark matter is the need to explain the growth of structure from the time of horizon entry and radiation-matter equality to the formation of stars and galaxies. This cannot be explained by using general…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-04 J. W. Moffat

We present stellar and dark matter (DM) density profiles for a sample of seven massive, relaxed galaxy clusters derived from strong and weak gravitational lensing and resolved stellar kinematic observations within the centrally-located…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Andrew B. Newman , Tommaso Treu , Richard S. Ellis , David J. Sand

Dark matter has been introduced to explain many independent gravitational effects at different astronomical scales, in galaxies, groups of galaxies, clusters, superclusters and even across the full horizon. This review describes the…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-19 Matts Roos

Circular velocities of stars and gas in galaxies generally do not decline in accordance with widely expected Keplerian fall-off in velocities further from the galactic nucleus. Two main groups of theories were proposed to explain the…

Astrophysics of Galaxies · Physics 2014-06-11 Konstantin Pavlovich , Alex Pavlovich , Alan Sipols

Massive gravity provides a natural solution for the dark energy problem of cosmology and is also a candidate for resolving the dark matter problem. I demonstrate that, assuming reasonable scaling relations, massive gravity can provide for…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-09 Sascha Trippe

Various theories, such as MOND, MOG, Emergent Gravity and $f(R)$ theories avoid dark matter by assuming a change in General Relativity and/or in Newton's law. Galactic rotation curves are typically described well. Here the application to…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-28 Theodorus Maria Nieuwenhuizen

We use a combination of N-body simulations of the hierarchical clustering of dark matter and semi-analytic modelling of the physics of galaxy formation to probe the relationship between the galaxy distribution and the mass distribution. The…

Astrophysics · Physics 2009-10-31 A. J. Benson , C. M. Baugh , S. Cole , C. S. Frenk , C. G. Lacey

We propose a new framework for testing gravity using cluster observations, which aims to provide an unbiased constraint on modified gravity models from Sunyaev Zel'dovich (SZ) and X-ray cluster counts and the cluster gas fraction, among…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-10 Myles A. Mitchell , Jian-hua He , Christian Arnold , Baojiu Li

We continue our study of the application of the conformal gravity theory to galactic rotation curves. Previously we had studied a varied 111 spiral galaxy sample consisting of high surface brightness galaxies, low surface brightness…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 James G. O'Brien , Philip D. Mannheim

We study and model the properties of galaxy clusters in the normal-branch Dvali-Gabadadze-Porrati (nDGP) model of gravity, which is representative of a wide class of theories which exhibit the Vainshtein screening mechanism. Using the first…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Myles A. Mitchell , César Hernández-Aguayo , Christian Arnold , Baojiu Li

We make a first application of the linear gravitational potentials of the conformal gravity theory to the distance scale associated with clusters of galaxies, with the theory being found to give a reasonable value for the mean velocity of…

Astrophysics · Physics 2007-05-23 Philip D. Mannheim

Gravitational-collapse-based explanations of the cosmic web lead to problems in estimating the total mass in the universe. A first-principles several-scales model is developed here for the structural organisation of cosmic matter in a flat…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-11 Raphael Blumenfeld

The galactic `dark matter' effect is regarded as one of the major problems in fundamental physics. Here it is explained as a self-interaction dynamical effect of space itself, and so is not caused by an unknown form of matter. Because it…

General Physics · Physics 2007-05-23 Reginald T. Cahill

While the concept of "clustering" primarily refers to galaxies, the fact is that galaxies can be neglected - at least in terms of mass - when considering the continuous competition between accretion and relaxation processes of dark matter…

Astrophysics · Physics 2007-05-23 M. Pierre

Higher order curvature gravity has recently received a lot of attention due to the fact that it gives rise to cosmological models which seem capable of solving dark energy and quintessence issues without using "ad hoc" scalar fields. In…

General Relativity and Quantum Cosmology · Physics 2009-11-10 S. Capozziello , V. F. Cardone , S. Carloni , A. Troisi