Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-10-16
Advances in Space Research, Volume 45, Issue 8, p. 1007-1014 (2010)
Astronomy and Astrophysics
Astrophysics
18 pages, 4 figures, accepted for publication in Advances in Space Research
Scientific paper
10.1016/j.asr.2009.11.012
We investigated the influence of dark matter on light propagation in the solar system. We assumed the spherical symmetry of spacetime and derived the approximate solution of the Einstein equation, which consists of the gravitational attractions caused by the central celestial body, i.e. the Sun, and the dark matter surrounding it. We expressed the dark matter density in the solar system in the following simple power-law form, $\varrho(t, r) = \rho(t)(\ell/r)^k$, where $t$ is the coordinate time; $r$, the radius from the central body; $\ell$, the normalizing factor; $k$, the exponent characterizing $r$-dependence of dark matter density; and $\rho(t)$, the arbitrary function of time $t$. On the basis of the derived approximate solution, we focused on light propagation and obtained the additional corrections of the gravitational time delay and the relative frequency shift caused by the dark matter. As an application of our results, we considered the secular increase in the astronomical unit reported by Krasinsky and Brumberg (2004) and found that it was difficult to provide an explanation for the observed $d{\rm AU}/dt = 15 \pm 4 ~[{\rm m/century}]$.
No associations
LandOfFree
Influence of Dark Matter on Light Propagation in Solar System 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 Influence of Dark Matter on Light Propagation in Solar System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Influence of Dark Matter on Light Propagation in Solar System will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-367538