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We consider a brane world scenario in which the bulk action is assumed to have the form of a generic function of the Ricci scalar $f(\mathcal{R})$ and derive the resulting Einstein field equations on the brane. In a constant curvature bulk…

General Relativity and Quantum Cosmology · Physics 2024-11-18 A. Borzou , H. R. Sepangi , S. Shahidi , R. Yousefi

For the past forty years the search for dark matter has been one of the primary foci of astrophysics, although there has yet to be any direct evidence for its existence (Porter et al. 2011). Indirect evidence for the existence of dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 F. Elliott Koch , Angus H. Wright

We generalize the virial theorem in f(R) modified gravity using the collisionless Boltzmann equation. We find supplementary geometric terms in the modified Einstein equation providing an effective contribution to the gravitational energy.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

When dark matter structures form and equilibrate they have to release a significant amount of energy in order to obey the virial theorem. Since dark matter is believed to be unable to radiate, this implies that some of the accreted dark…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-03 Steen H. Hansen

We discuss features of the brane cosmological evolution that arise through the presence of matter in the bulk. As these deviations from the conventional evolution are not associated with some observable matter component on the brane, we…

High Energy Physics - Theory · Physics 2009-11-11 Pantelis S. Apostolopoulos , Nikolaos Brouzakis , Emmanuel N. Saridakis , Nikolaos Tetradis

Using standard Einstein theory, baryonic mass cannot account for observed galactic rotation velocities and gravitational lensing, attributed to galactic dark matter halos. In contrast, theory constrained by Weyl conformal scaling symmetry…

General Physics · Physics 2015-03-11 R. K. Nesbet

The gravitational lensing signal produced by a galaxy or a galaxy cluster is determined by its total matter distribution, providing us with a way to directly constrain their dark matter content. State-of-the-art numerical simulations…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-27 Giulia Despali , Felix M. Heinze , Claudio Mastromarino

A simple gravitational model with torsion is studied, and it is suggested that it could explain the dark matter and dark energy in the universe. It can be reinterpreted as a model using the Einstein gravitational equations where spacetime…

General Relativity and Quantum Cosmology · Physics 2022-03-28 Graeme W. Milton

We explore the mass distribution of material associated with galaxies from the observation of gravitational weak lensing for the galaxy mass correlation function with the aid of $N$-body simulations of dark matter. The latter is employed to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shogo Masaki , Masataka Fukugita , Naoki Yoshida

We consider the possibility of an alternative gravity theory explaining the dynamics of galactic systems without dark matter. From very general assumptions about the structure of a relativistic gravity theory we derive a general expression…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Vadim V. Zhytnikov , James M. Nester

Gravitational force manifested in its affect on rotational velocity is what indicates the presence of dark matter in individual galaxies. Newtonian mechanics is generally used to derive the relationship between rotational velocity and…

General Physics · Physics 2007-05-23 D. M. Snyder

We introduce a simple family of models for representing the dark matter in galaxies. The potential and phase space distribution function are all elementary, while the density is cusped. The models are all hypervirial, that is, the virial…

Astrophysics · Physics 2007-05-23 Jin H. An , N. Wyn Evans

Extra-dimensional theories contain additional degrees of freedom related to the geometry of the extra space which can be interpreted as new particles. Such theories allow to reformulate most of the fundamental problems of physics from a…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. R. Cembranos , A. Dobado , A. L. Maroto

The simplest gauge gravitation theory in Riemann-Cartan space-time leading to the solution of the problem of cosmological singularity and dark energy problem is investigated with purpose to solve the dark matter problem. It is shown that…

General Relativity and Quantum Cosmology · Physics 2017-05-09 A. V. Minkevich

Motivated by present indirect evidences that galaxies are surrounded by dark matter halos, we investigate whether their physical properties can be described by a formulation of the virial theorem which explicitly takes into account the…

Cosmic acceleration is explained quantitatively, as an apparent effect due to gravitational energy differences that arise in the decoupling of bound systems from the global expansion of the universe. "Dark energy" is a misidentification of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David L. Wiltshire

In the present investigation flat rotational curves of the galaxies are considered under the framework of brane-world models where the 4d effective Einstein equation has extra terms which arise from the embedding of the 3-brane in the $5d$…

Astrophysics · Physics 2008-11-07 F. Rahaman , M. Kalam , A. DeBenedictis , A. A. Usmani , Saibal Ray

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 investigate whether dark matter can be replaced by various source terms appearing in the effective Einstein equation, valid on a brane embedded into a higher dimensional space-time (the bulk). Such non-conventional source terms include a…

General Relativity and Quantum Cosmology · Physics 2009-05-15 László Á. Gergely

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