On the Gravitomagnetic Time Delay

Abstract

We study the gravitational time delay in ray propagation due to rotating masses in the linear approximation of general relativity. Simple expressions are given for the gravitomagnetic time delay that occurs when rays of radiation cross a slowly rotating shell, equation (14), and propagate in the field of a distant rotating source, equation (16). Moreover, we calculate the local gravitational time delay in the G¨odel universe. The observational consequences of these results in the case of weak gravitational lensing are discussed.