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We present a theoretical foundation for relativistic astronomical measurements in curved space-time. In particular, we discuss a new iterative approach for describing the dynamics of an astronomical N-body system. To do this, we generalize…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev

The recently formulated model of black holes coupled to the radial flows of dark matter (RDM-stars) is considered and the shape of the galactic rotation curves predicted by the model is evaluated. Under the assumption that the density of…

Astrophysics of Galaxies · Physics 2021-02-17 Igor Nikitin

Several general trends have been identified for equilibrated, self-gravitating collisionless systems, such as density or anisotropy profiles. These are integrated quantities which naturally depend on the underlying velocity distribution…

Astrophysics · Physics 2009-11-11 Steen H. Hansen , Ben Moore , Marcel Zemp , Joachim Stadel

A spherically symmetric comoving fluid solution of Einstein's equations is adapted for cosmological application by extending the geometry of standard FRW cosmology using a generalised curvature term. The resulting model retains many of the…

General Relativity and Quantum Cosmology · Physics 2009-09-15 Ron Wiltshire

We present an efficient, robust computational method for modeling the Newtonian dynamics for rotation curve analysis of thin-disk galaxies. For a disk galaxy with a typical flat rotation curve, our modeling results show that the surface…

Astrophysics of Galaxies · Physics 2015-05-27 James Q. Feng , C. F. Gallo

We consider the singular configurations of gravitating gas [1] which could be used as a model for disk galaxies. The simplest steady configuration, which corresponds to rotation of stars around center gives flat rotational curve, provided…

Astrophysics · Physics 2007-05-23 G. Pronko

We present high-accuracy rotation curves, which show a steep nuclear rise and high-velocity central rotation, followed by a broad maximum in the disk and flat part. We use the rotation curves to directly calculate the radial distribution of…

Astrophysics · Physics 2007-05-23 Yoshiaki Sofue

On large-scales, comparable to the horizon, the observable clustering properties of galaxies are affected by various general relativistic effects. To calculate these effects one needs to consistently solve for the metric, densities and…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-21 Nora Elisa Chisari , Matias Zaldarriaga

Conformal gravity theory can explain observed flat rotation curves of galaxies without invoking hypothetical dark matter. Within this theory, we obtain a generic formula for the sizes of galaxies exploiting the stability criterion of…

General Relativity and Quantum Cosmology · Physics 2012-08-28 Kamal K. Nandi , Arunava Bhadra

Rotation curves of galaxies show a wide range of shapes, which can be paramaterized as scatter in Vrot(1kpc)/Vmax i.e.the ratio of the rotation velocity measured at 1kpc and the maximum measured rotation velocity. We examine whether the…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-19 Chris Brook

We revisit the methods to determine the Galactic rotation curve and kinematical distances from radial velocities and proper motions. We construct "accuracy diagrams" to show the distributions in the galactic plane of expected uncertainties…

Astrophysics of Galaxies · Physics 2015-05-28 Yoshiaki Sofue

There is apparently a widespread belief that the gravitational field (and subsequently the rotation curve) ``inside'' razor-thin, axially symmetric disks can not be determined accurately from elliptic integrals because of the singular…

Astrophysics · Physics 2009-11-10 A. Pierens , J. -M. Huré

We argue that combined observations of galaxy rotation curves and gravitational lensing not only allow the deduction of a galaxy's mass profile, but also yield information about the pressure in the galactic fluid. We quantify this statement…

Astrophysics · Physics 2008-11-26 Tristan Faber , Matt Visser

This paper discusses the observed at rotation curves of galaxies in the context of noncommutative geometry. The energy density of such a geometry is diffused throughout a region due to the uncertainty encoded in the coordinate commutator.…

General Relativity and Quantum Cosmology · Physics 2016-11-25 F. Rahaman , Peter K. F. Kuhfittig , K. Chakraborty , A. A. Usmani , Saibal Ray

We show quantitatively that an exact solution of Einstein's conformal gravity can explain very well the galactic rotation curves for a sample of 104 galaxies without need for dark matter or other exotic modification of gravity. The metric…

General Relativity and Quantum Cosmology · Physics 2019-06-13 Qiang Li , Leonardo Modesto

The rotation curve of a magnetized plasma cloud orbiting in the gravitational potential of a galaxy is calculated by statistical arguments. The working assumption is that a mild magnetic field, decreasing with distance from the galactic…

Astrophysics of Galaxies · Physics 2018-06-14 Naoki Sato

We present a simple empirical function for the average density profile of cosmic voids, identified via the watershed technique in $\Lambda$CDM N-body simulations. This function is universal across void size and redshift, accurately…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-09 Nico Hamaus , P. M. Sutter , Benjamin D. Wandelt

We study the effects of rotation on the torsional modes of oscillating relativistic stars with a solid crust. Earlier works in Newtonian theory provided estimates of the rotational corrections for the torsional modes and suggested that they…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Vavoulidis , A. Stavridis , K. D. Kokkotas , H. Beyer

Internal kinematics of galaxies, traced through the stellar rotation curve or two dimensional velocity map, carry important information on galactic structure and dark matter. With upcoming surveys, the velocity map may play a key role in…

Astrophysics of Galaxies · Physics 2024-11-27 Sangwoo Park , Arman Shafieloo , Satadru Bag , Mikhail Denissenya , Eric V. Linder , Adarsh Ranjan

We propose to test the viability of the recently introduced $f(\mathcal{R})$ gravity model in the galactic scales. For this purpose we consider test particles moving in stable circular orbits around the galactic center. We study the…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Nashiba Parbin , Umananda Dev Goswami