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We propose a new formula to explain circular velocity profiles of spiral galaxies obtained from the Starobinsky model in Palatini formalism. It is based on the assumption that the gravity can be described by two conformally related metrics:…

General Relativity and Quantum Cosmology · Physics 2018-04-13 Ciprian A. Sporea , Andrzej Borowiec , Aneta Wojnar

We present new mathematical alternatives for explaining rotation curves of spiral galaxies in the MOND context. For given total masses, it is shown that various mathematical alternatives to MOND, while predicting flat rotation curves for…

Astrophysics · Physics 2007-05-23 Sandro S. e Costa , R. Opher

Rotation curves of spiral galaxies are the major tool for determining the distribution of mass in spiral galaxies. They provide fundamental information for understanding the dynamics, evolution and formation of spiral galaxies. We describe…

Astrophysics · Physics 2019-02-25 Yoshiaki Sofue , Vera Rubin

The data of velocity rotation curve in spiral galaxies, almost for galaxies which have close central surface brightness, collapse onto a universal scaling function. Since scaling functions are the signature of emergence in complex systems…

Astrophysics of Galaxies · Physics 2012-01-17 Reza Torabi

The rotation curves of low surface brightness galaxies provide a unique data set with which to test alternative theories of gravitation over a large dynamic range in size, mass, surface density, and acceleration. Many clearly fail,…

Astrophysics · Physics 2015-06-24 Stacy McGaugh , Erwin de Blok

In the present work we derive an analytical expression for the mass density of an object with spherical symmetry, whose corresponding potential allows obtaining a circular velocity around it that is in agreement with the observed rotation…

Astrophysics of Galaxies · Physics 2023-02-09 José Enrique Hernández Ramírez

In this work, we submit the explanation of spectra of the rotary curves of galaxies on the basis of a vector theory of gravitation without regard to the dark matter hypothesis. We study the approximation of rotary curves in case of existing…

General Physics · Physics 2011-05-10 V. N. Borodikhin

A unified parametrization of the circular velocity, which accurately fits 850 galaxy rotation curves without needing in advance the knowledge of the luminous matter components, nor a fixed dark matter halo model, is proposed. A notable…

Astrophysics of Galaxies · Physics 2018-03-14 E. Lopez Fune

In a previous work (Mbelek 2001), we modelled the rotation curves (RC) of spiral galaxies by including in the equation of motion of the stars the dynamical terms from an external real self-interacting scalar field, $\psi$, minimally coupled…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. P. Mbelek

In this work, we propose a modified Newton dynamics (MOND) model to study the rotation curves of galaxies. The model is described by an arctangent interpolating function and it fits the rotation curves of several galaxies without invoking…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Ana C. M. Ciqueira , Geanderson A. Carvalho , Paulo H. Faccin , Fabrício T. Dalmolin

Usual explanations of spiral galaxy rotation curves assume circular orbits of stars. The consequences of giving up this assumption are investigated here. In particular, hyperbolic stellar trajectories are found to be interesting. The two…

Astrophysics of Galaxies · Physics 2018-01-30 Tarun Biswas

In this paper we propose a new method for reconstructing the surface density of matter in flat disks of spiral galaxies. The surface density is expressed through observational rotation velocity curves of visible matter in the disks of…

Astrophysics of Galaxies · Physics 2015-05-28 Alexander Shatskiy , Igor Novikov , Olga K. Sil'chenko , Jakob Hansen , Ivan Yu. Katkov

In a previous work \cite{mbeleka}, we have modelled the rotation curves (RC) of spiral galaxies by including in the equation of motion dynamical terms from an external real self-interacting scalar field, $\phi$, minimally coupled to gravity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. P. Mbelek

We present MOND analysis for several of the lowest mass disc galaxies currently amenable to such analysis--with (baryonic) masses below 4x10^8 solar masses. The agreement is good, extending the validity of MOND and its predicted mass…

Astrophysics · Physics 2009-11-11 Mordehai Milgrom , Robert H. Sanders

The present work is devoted to study the dynamical evolution of the galaxies in scalar-GaussBonnet gravity in relationship with the MOND paradigm. This study is useful for giving meaning to the presence of a new gravitational constant. The…

General Relativity and Quantum Cosmology · Physics 2022-01-19 M. Bousder

We derive a formula for the velocity distribution of an axially symmetric galaxy where the mass density is corrected using the mass formula from special relativity. We take some reasonable test mass densities and numerically compute the…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Jaroslaw S. Jaracz

Galactic rotation curve is a powerful indicator of the state of the gravitational field within a galaxy. The flatness of these curves indicates the presence of dark matter in galaxies and their clusters. In this paper, we focus on the…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Gayatri Mohan , Umananda Dev Goswami

In this work we study rotation curves of spiral galaxies using a model of dark matter based on a scalar-tensor theory of gravity. We show how to estimate the scalar field dark matter parameters using a sample of observed rotation curves.

Astrophysics of Galaxies · Physics 2012-10-26 Mario A. Rodriguez-Meza

The study of 21cm line observations of atomic hydrogen allows detailed insight into the kinematics of spiral galaxies. We use sensitive high-resolution VLA data from The HI Nearby Galaxy Survey (THINGS) to search for radial gas flows…

Astrophysics of Galaxies · Physics 2016-02-17 Tobias. M. Schmidt , Frank Bigiel , Ralf S. Klessen , W. J. G. de Blok

A sample of 22 spiral galaxy rotation curves, measured in the 21 cm line of neutral hydrogen, is considered in the context of Milgrom's modified dynamics (MOND). Combined with the previous highly selected sample of Begeman et al. (1990),…

Astrophysics · Physics 2009-10-28 R. H. Sanders
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