PT4 - Precision Tests of Special Relativity |
Speaker_ |
Teyssandier, Pierre |
Co-autors |
C. Le Poncin-Lafitte |
Talk _ |
A nice tool for relativistic astrometry: Synge's world function |
Abstract _ |
Almost all of the studies devoted to relativistic astrometry are based on the integration of the null geodesic equations. However, the direction of a light ray can be calculated without knowing the null geodesics if one is able to determine the world function $\Omega(x, y)$ giving half the squared geodesic distance between two points $x$ and $y$ (Synge’s world function). After a review of the main properties of this function, we outline the general method that we have recently proposed to carry out its post-linear expansion. We also summarize our results on the light deflection due to the mass-multipoles of an axisymmetric body. |