General Relativity and Gravitation

, Volume 37, Issue 4, pp 823–829

Potential–density pairs for axisymmetric galaxies: the influence of scalar fields

  • M. A. Rodríguez-Meza
  • Jorge L. Cervantes-Cota
  • M. I. Pedraza
  • J. F. Tlapanco
  • E. M. De la Calleja
Article

DOI: 10.1007/s10714-005-0067-2

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

Abstract

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.

Keywords

Stellar dynamicsGalaxy: kinematics and dynamicsGalaxy: haloGalaxy: diskGalaxy: structureNewtonian limit

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  • M. A. Rodríguez-Meza
    • 1
  • Jorge L. Cervantes-Cota
    • 1
  • M. I. Pedraza
    • 2
  • J. F. Tlapanco
    • 2
  • E. M. De la Calleja
    • 2
  1. 1.Depto. de FísicaInstituto Nacional de Investigaciones NuclearesMéxico D.F.Mexico
  2. 2.Instituto de FísicaBenemérita Universidad Autónoma de PueblaPueblaMéxico