Modelling the rotational curves of spiral galaxies with a scalar field

Abstract

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 to gravity and which respects the equivalence principle in the weak fields and low velocity approximation. This model appeared to have three free parameters : the turnover radius, $r_0$, the maximum tangential velocity, $v_{\theta max}=v_{\theta }(r_0)$, plus a strictly positive integer, $n$. Here, we propose a new improved version where the coupling of the $\psi$-field to dark matter is emphasized at the expense of its self-interaction. This reformulation presents the very advantageous possibility that the same potential is used for all galaxies. Using at the same time a quasi-isothermal dark matter density and the scalar field helps to better fit the RC of spiral galaxies. In addition, new correlations are established.

Latex, 5 pages with 3 Postscript figures

References in corpus (4)

• Supermassive black holes in scalar field galaxy halos
• The large extent of dark matter haloes probed by the formation of tidal dwarf galaxies
• Constraints on extended quintessence from high-redshift Supernovae
• Accelerated closed universes in scalar-tensor theories

Cited by in corpus (32)

• Extra force in $f(R)$ modified theories of gravity
• Can dark matter be a Bose-Einstein condensate?
• The (pseudo)issue of the conformal frame revisited
• A viability criterion for modified gravity with an extra force
• Do f(R) theories matter?
• On the non-minimal gravitational coupling to matter
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• Galactic rotation curves in hybrid metric-Palatini gravity
• Scalar Field Dark Matter: non-spherical collapse and late time behavior
• Scalar Field Dark Matter: head-on interaction between two structures
• Brief History of Ultra-light Scalar Dark Matter Models
• Galactic metric, dark radiation, dark pressure and gravitational lensing in brane world models
• Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity
• Conformally symmetric vacuum solutions of the gravitational field equations in the brane-world models
• Effects of a weakly interacting light U boson on the nuclear equation of state and properties of neutron stars in relativistic models
• Characteristic Size and Mass of Galaxies in the Bose-Einstein Condensate Dark Matter Model
• More on the first-order thermodynamics of scalar-tensor and Horndeski gravity
• Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem
• Scalar potential model of redshift and discrete redshift
• Is dark matter an extra-dimensional effect?
• Quasi-geodesics in relativistic gravity
• Viability of nonminimally coupled f (R) gravity
• Scalar-tensor theories and asymmetric resonant cavities
• Temporal variation of Earth-based gravitational constant measurements
• Evidence for Torque Caused by a Magnetic Impulse on a Nonmagnetic Torsion Pendulum
• Tolman-Ehrenfest's criterion of thermal equilibrium extended to conformally static spacetimes
• Revaluation of Mbelek and Lachièze-Rey scalar tensor theory of gravitation to explain the measured forces in asymmetric resonant cavities
• Possible measurable effects of light propagating in electromagnetized vacuum, as predicted by a scalar tensor theory of gravitation
• The M-sigma Relation of Super Massive Black Holes from the Scalar Field Dark Matter
• A new theory of tensor-scalar gravity coupled to Aharonov-Bohm electrodynamics
• Scalar-tensor gravity and Aharonov-Bohm electrodynamics with bosons: applications to superconductors
• A spherically symmetric gravitational solution of nearly conformally flat metric~measure~space