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There should be two ways to describe the flat rotation curves of galaxies and cluster of galaxies. Either one can introduce a dark matter component for the matter filling the halo, or by modifying the gravity theory and give the flat…

General Relativity and Quantum Cosmology · Physics 2014-04-02 F. Shojai , A. Shojai

The flatness of galaxy rotation curves at large radii is generally considered to be a significant piece of evidence in support of the existence of dark matter. Several studies have claimed that post-Newtonian corrections to the Newtonian…

Astrophysics of Galaxies · Physics 2023-07-05 Kostas Glampedakis , David Ian Jones

We calculated the ellipticity of the deformed star due to the rotation or magnetic field. These two effects are compared to each other within general relativity. It turned out that the magnetic distortion is important for recently observed…

Astrophysics · Physics 2011-05-23 K. Konno , T. Obata , Y. Kojima

We investigate the radial behavior of galactic rotation curves by a Fourth Order Gravity adding also the Dark Matter component. The Fourth Order Gravity is a Lagrangian containing the Ricci scalar, the Ricci and Riemann tensor, but the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 A. Stabile , G. Scelza

In the theories of generalized modified gravity, the acceleration equation is generally fourth order. So it is hard to analyze the evolution of the Universe. In this paper, we present a class of generalized modified gravity theories which…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Changjun Gao

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

Models for DM are invoked with various density distributions, to account for flat rotation curves of galaxies. The effect of DE on these profiles for large galaxies and clusters are also studied. The rotation curves are shown to dip at a…

Astrophysics · Physics 2007-10-25 C. Sivaram , Venkata Manohara Reddy. A

A argument is described for how deformed or doubly special relativity may arise in the semiclassical limit of a quantum theory of gravity. We consider a generic quantum theory of gravity coupled to matter, from which we use only the…

High Energy Physics - Theory · Physics 2008-08-28 Lee Smolin

It has been proposed that the flat rotation curves observed at large radii in disk galaxies can be interpreted as an effect of General Relativity (GR) instead of the presence of dark matter (DM) halos in Newtonian gravity. In Ciotti (2022)…

Astrophysics of Galaxies · Physics 2024-11-07 Luca Ciotti

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

We investigate recent claims that gravitomagnetic effects in linearised general relativity can explain flat and rising rotation curves, such as those observed in galaxies, without the need for dark matter. If one models a galaxy as an…

General Relativity and Quantum Cosmology · Physics 2023-04-13 A. N. Lasenby , M. P. Hobson , W. E. V. Barker

We comment on the methods and the conclusion of Ref. [1], "Does gravitational confinement sustain flat galactic rotation curves without dark matter?" The article employs two methods to investigate whether non-perturbative corrections from…

General Relativity and Quantum Cosmology · Physics 2023-06-05 A. Deur

We investigate the possibility to explain theoretically the galaxy rotation curves by a gravitational potential in total absence of dark matter. To this aim an analytic fourth-order theory of gravity, nonminimally coupled with a massive…

General Relativity and Quantum Cosmology · Physics 2015-06-15 A. Stabile , S. Capozziello

The cause of the extended rotation curves of galaxies is investigated. It is shown that conventional sources and most exotic sources for the needed gravitational fields are implausible. We suggest spatial fluctuations in a scalar field,…

Astrophysics · Physics 2007-05-23 H. L. Helfer

We review the topic of rotation curves of spiral galaxies emphasizing the standard interpretation as evidence for the existence of dark matter halos. Galaxies other than spirals and late-type dwarfs may also possess great amounts of dark…

Astrophysics · Physics 2007-05-23 Eduardo Battaner , Estrella Florido

Curvature squared terms are added to a consistent formulation of supergravity on manifolds with boundary which is meant to represent the low energy limit of the strongly coupled heterotic string. These terms are necessary for the…

High Energy Physics - Theory · Physics 2009-03-27 Ian G Moss

Classically, the time complexity of a first-order method is estimated by its number of gradient computations. In this paper, we study a more refined complexity by taking into account the `lingering' of gradients: once a gradient is computed…

Optimization and Control · Mathematics 2019-05-29 Zeyuan Allen-Zhu , David Simchi-Levi , Xinshang Wang

Cosmological departures from general relativity offer a possible explanation for the cosmic acceleration. To linear order, these departures (quantified by the model-independent parameter $\varpi$, referred to as a `gravitational slip')…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-05 Scott F. Daniel

It has been shown that for a certain special type of quantum graphs the random-matrix form factor can be recovered to at least third order in the scaled time \tau using periodic-orbit theory. Two types of contributing pairs of orbits were…

Chaotic Dynamics · Physics 2007-05-23 G. Berkolaiko

Modified gravity theories have received increased attention lately to understand the late time acceleration of the universe. This viewpoint essentially modifies the geometric components of the universe. Among numerous extension to…

General Relativity and Quantum Cosmology · Physics 2019-05-23 Parth Shah , Gauranga C. Samanta