Rotation Curves of Galaxies via Reissner-Nordstrom Induced Gravity and an Alternative Explanation of Dark Matter

  • J. Buitrago University of La Laguna
Keywords: keywords: relativistic processes, black hole physics, dark matter.


The dynamics of a neutral test particle in the spacetime geometry corresponding to a central massive
and charged object (Reissner-Nordstrom Metric) is examined. For a radial distance r = Q2/M (in natural
units), the gravitational force is null, independently of the value of G, and repulsive below this value. It
is shown that within typical atomic and molecular distances, there is a repulsive force albeit negligible in
comparison with the electromagnetic one ruling the atomic world. For an eventual extremal black hole
having a mass equal to the Planck Mass, a limit to an electric charge equal to 1 (MeV)0 is found. At the
galactic scale and for galaxies with a compact central nucleus with mass below or of the order of M⊙, the
repulsive force can reproduce the flat rotation curve of stellar orbits observed in many galaxies.


1] Cappelluti N., Gunther H. and Pryamvada N. Ap. J. 926:205 (2022)

[2] Chandrasekhar S. The Mathematical Theory of Black Holes Clarendom Press, (1983)

[3] Milgrom, M., 1983, ApJ, 270, 371

[4] Milgrom M. and Sanders R.H., Astrophys. J. Lett. 658 (2007) L17
5] Pugliese D., Quevedo H. and Ruffini R. Physical Review D (83), 024021 (2011)

[6] Yoshiaki S. and Vera R. Ann. Rev. Astron. and -Astrophys. Vol. 39, p.137, 2001

[7] Martin B., Sascha D.,Tilman P., Michael R. and Daniel A. Camargo SciPost Phys. 5, 036 (2018)

[8] Buitrago J., Results in Physics 11, 138-143, (2018)

[9] Buitrago J., Eur. J. Phys. 16, 113, 1996

[10] J. Buitrago and S. Hajjawi J. Math. Phys., 48 022902 (2007).
Regular Issue