Numerical treatment of the light propagation problem in the post-Newtonian formalism

Details Numerical treatment of the light propagation problem in the post-Newtonian formalism Numerical treatment of the light propagation problem in the post-Newtonian formalism

2009-12-23

arxiv.org/abs/0912.4709v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 fig., Talk given by JFPS in Sept, 10, 2009, to be published in JPCS as Proceedings of Spanish Relativity Meeting-ER

Scientific paper

The geometry of a light wavefront, evolving from a initial flat wavefront in the 3-space associated with a post-Newtonian relativistic spacetime, is studied numerically by means of the ray tracing method. For a discretization of the bidimensional light wavefront, a surface fitting technique is used to determine the curvature of this surface. The relationship between the intrinsic curvature of the wavefront and the change of the arrival time at different points on the Earth is also numerically discussed.

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