Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-02-15
Gen.Rel.Grav.39:777-784,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages; 1 eps figure; to appear in General Relativity and Gravitation
Scientific paper
10.1007/s10714-007-0420-8
We present a new solution for the rotation curves of galactic disks with gravitational potential of the Yukawa type. We follow the technique employed by Toomre in 1963 in the study of galactic disks in the Newtonian theory. This new solution allows an easy comparison between the Newtonian solution and the Yukawian one. Therefore, constraints on the parameters of theories of gravitation can be imposed, which in the weak field limit reduce to Yukawian potentials. We then apply our formulae to the study of rotation curves for a zero-thickness exponential disk and compare it with the Newtonian case studied by Freeman in 1970. As an application of the mathematical tool developed here, we show that in any theory of gravity with a massive graviton (this means a gravitational potential of the Yukawa type), a strong limit can be imposed on the mass (m_g) of this particle. For example, in order to obtain a galactic disk with a scale length of b ~ 10 kpc, we should have a massive graviton of m_g << 10^{-59} g. This result is much more restrictive than those inferred from solar system observations.
de Araujo Jose Carlos N.
Miranda Oswaldo D.
No associations
LandOfFree
A solution for galactic disks with Yukawian gravitational potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A solution for galactic disks with Yukawian gravitational potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A solution for galactic disks with Yukawian gravitational potential will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-302651