Numerical estimation of the curvature of a light wavefront in a weak gravitational field

Details Numerical estimation of the curvature of a light wavefront in a weak gravitational field Numerical estimation of the curvature of a light wavefront in a weak gravitational field

2009-10-23

arxiv.org/abs/0910.4559v1

Class.Quant.Grav.26:235004,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 6 figs, accepted in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/26/23/235004

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

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