Abstract
Dark matter (DM) may be studied through the motion of objects following nongeodesic trajectories either due to the existence of an extra mass as a projection of higher dimensions onto lower ones or as motion of dipolar particles and fluids in the halos of spiral galaxies. The effect of DM has been extended nearby the core of the galaxy by means of the excess of mass appearing in the motion of fluids in the accretion disc. Nongeodesic equations and those of their deviation are derived in the presence of different classes of bimetric theories of gravity. The stability of these trajectories using the geodesic deviation technique is investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. E. Kahil and T. Harko, Mod. Phys. Lett. 24, 667 (2009).
P. Wesson, J. Math. Phys. 43, 2423 (2002).
L. Blanchet, Class. Quantum Grav. 24, 3541 (2007).
L. Blanchet and A. Le Tiec, Phys. Rev., 78, 024031 (2008).
A. G. Riessetal., Astron. J. 116, 1009 (1998).
B. C. Bromly, Astroph. J. 197, 2 (2011).
K. Kleids and N. K. Spyrou, Class. Quantum Grav. 17, 2965 (2000).
L. Iorio, Galaxie. 1, 6 (2013).
L. V. Verozub, Space-time Relativity and Gravitation (Lambert Acad. Publishing, 2015).
S. L. Bazanski, J. Math. Phys. 30, 1018 (1989).
M. Milgrom, Astroph. J. 270, 365 (1983).
M. Milgrom, Phys. Rev., 89, 024027 (2014).
L. Blanchet, Class. Quantum Grav. 24, 3541 (2007).
M. E. Kahil, J. Math. Phys. 47, 052501 (2006).
M. Heydrai-Fard, M. Mohseni, and H. R. Sepanigi, Phys. Lett., 626, 230 (2005).
S. Peirani and J. A. de Freitas Pacheco, Phys. Rev., 78, 024031 (2008).
S. Hossenfelder, Phys. Rev. D. 78, 044015 (2008).
J. W. Moffat, Int. J. Mod. Phys. 20, 1105 (2005).
Y. Akrami, T. Koivisto, and A. R. Solomon, Gen. Rel. Grav. 47, 1838 (2015).
K. Aoki and K. Maeda, Phys. Rev. 90, 124089 (2014).
Magd. E. Kahil, Grav. Cosmol. 23, 70 (2017).
J. D. Bekenstein, Phys. Rev. 48, 3641 (1993).
M. I. Wanas, and M. A. Bakry, Proc. MG XI, Part C, 2131 (2008).
M. I. Wanas and M. A. Bakry, Astrophys. Space Sci. 228, 239 (1995).
Magd E. Kahil, Odessa Astronomical Publications 28/2, 126 (2015)
N. Rosen, Gen. Rel. Grav. 4, 435 (1973).
S. F. Hassan and Rachel A. Rosen, JHEP 126 (2012).
L. Blanchet and L. Heisenberg, Phys Rev. 96, 083512 (2017).
L. Blanchet and L. Heisenberg, NORDITA-2015-38 (2015)
I. Pestov, Proc. 5th Int. Workshop on Complex Structures and Vector Fields, Ed. by S. Dimievand K. Sekigawa, World Scientific Singpore (2001). p. 180.
Magd E. Kahil. Grav. Cosmol. (24), 83 (2018).
M. Roshan, Phys. Rev. 87, 044005 (2013).
Acknowledgment
The author thanks Mr. Andrew Gordon for his comments.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kahil, M.E. Dark Matter: the Problem of Motion. Gravit. Cosmol. 25, 268–276 (2019). https://doi.org/10.1134/S020228931903006X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S020228931903006X