A generalized lens equation for light deflection in weak gravitational fields

Sven Zschocke (1)

1 Lohrmann Observatory

A generalized lens equation in Schwarzschild metric and valid for small lightdeflection angles is suggested. The magnitude of neglected terms in the generalized lens equation is estimated to be smaller or equal than 15 π 4 m 2 d  2, where m is the Schwarzschild radius of masive body and d  is Chandrasekhar's impact vector. The main applications of this generalized lens equation are extreme astrometrical configurations, where Standard post-Newtonian approach as well as Classical lens equation cannot be applied. It is shown that in the appropriate limits the proposed lens equation yields the known post-Newtonian terms, 'enhanced ' post-post-Newtonian terms and the Classical lens equation, thus provides a link between these both essential approaches for determining the light-deflection.

Mots clés: 95.10.Jk; 95.10.Ce; 95.30.Sf; 04.25.Nx; 04.80.Cc

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Sven Zschocke. A generalized lens equation for light deflection in weak gravitational fields. Classical and Quantum Gravity, 2011, 28 (12), pp.125016. ⟨10.1088/0264-9381/28/12/125016⟩. ⟨hal-00710457⟩