MG12 - Talk detail |
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Participant |
Pascual-Sanchez, J.-Fernando | |
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Institution |
Universidad de Valladolid - Facultad de Ciencias, Prado de la Magdalena - Valladolid - - Spain | |
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Session |
Talk |
Abstract |
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EG4 |
Curvature of a light wave-front in a weak and static gravitational field |
In this work we present a numerical study of the evolution of a plane 2D electromagnetic wave-front, by tracing light rays that propagate in the curved 3D space corresponding to a relativistic spacetime described by the post-Newtonian approximation of a weak and static gravitational field. Techniques of discrete differential geometry are applied, to obtain estimates of geometrical magnitudes of the different curvatures of the surface wave-front, such as the mean curvature, the Gaussian curvature, the curvature principal directions and a new relative intrinsic curvature. Finally, an estimation of the differences in arrival times due to the curvature of the wave-front is determined. |