Parametrized post-post-Newtonian analytical solution for light propagation

Details Parametrized post-post-Newtonian analytical solution for light propagation Parametrized post-post-Newtonian analytical solution for light propagation

2009-02-24

arxiv.org/abs/0902.4206v1

Astronomy and Astrophysics

Astrophysics

Instrumentation and Methods for Astrophysics

12 pages, 0 figures, Report of astrometric mission GAIA

Scientific paper

An analytical solution for light propagation in the post-post-Newtonian approximation is given for the Schwarzschild metric in harmonic gauge augmented by PPN and post-linear parameters $\beta$, $\gamma$ and $\epsilon$. The solutions of both Cauchy and boundary problem are given. The Cauchy problem is posed using the initial position of the photon $\ve{x}_0 = \ve{x}(t_0)$ and its propagation direction \ve{\sigma} at minus infinity: $\ve{\sigma} = {1\over c} \lim\limits_{t \to -\infty}\dot{\ve{x}}(t)$. An analytical expression for the total light deflection is given. The solutions for $t - t_0$ and $\ve{\sigma}$ are given in terms of boundary conditions $\ve{x}_0 = \ve{x} (t_0)$ and $\ve{x} = \ve{x}(t)$.

Affiliated with

Also associated with

No associations

Rating

Parametrized post-post-Newtonian analytical solution for light propagation 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 Parametrized post-post-Newtonian analytical solution for light propagation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parametrized post-post-Newtonian analytical solution for light propagation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173038