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A scalar field modelling of the rotational curves of spiral galaxies

J. P. Mbelek
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Abstract

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, $ϕ$, minimally coupled to gravity and which respects the equivalence principle in the absence of electromagnetic fields. This model appears to have three free parameters : the turnover radius, $r_{0}$, the maximum rotational velocity, $v_{max} = v(r_{0})$, plus a strictly positive integer, $n$. Here, the coupling of the $ϕ$-field to other kinds of matter is emphasized at the expense of its self-interaction. This reformulation presents the very advantageous possibility that the same potential may be used now for all galaxies. New correlations are established.

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J. P. Mbelek. 2004-02-20. A scalar field modelling of the rotational curves of spiral galaxies. https://arxiv.org/abs/gr-qc/0402088

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