Potential–density pairs for axisymmetric galaxies: the influence of scalar fields
- Cite this article as:
- Rodríguez-Meza, M.A., Cervantes-Cota, J.L., Pedraza, M.I. et al. Gen Relativ Gravit (2005) 37: 823. doi:10.1007/s10714-005-0067-2
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We present a formulation for potential–density pairs to describe axi-symmetric galaxies in the Newtonian limit of scalar–tensor theories of gravity. The scalar field is described by a modified Helmholtz equation with a source that is coupled to the standard Poisson equation of Newtonian gravity. The net gravitational force is given by two contributions: the standard Newtonian potential plus a term stemming from massive scalar fields. General solutions have been found for axisymmetric systems and the multipole expansion of the Yukawa potential is given. In particular, we have computed potential–density pairs of galactic disks for an exponential profile and their rotation curves.