On the Gravitomagnetic Time Delay
I. Ciufolini (University of Lecce), S. Kopeikin (University of, Missouri-Columbia), B. Mashhoon (University of Missouri-Columbia), F. Ricci, (University of Rome)
TL;DR
This paper investigates the gravitomagnetic time delay caused by rotating masses in general relativity, providing formulas for different scenarios and discussing potential observational effects in weak gravitational lensing.
Contribution
It derives simple expressions for gravitomagnetic time delay in various configurations and explores their observational implications in weak lensing.
Findings
Derived formulas for time delay crossing a rotating shell
Calculated local delay in the G"odel universe
Discussed observational consequences in weak lensing
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 and propagate in the field of a distant rotating source. Moreover, we calculate the local gravitational time delay in the Goedel universe. The observational consequences of these results in the case of weak gravitational lensing are discussed.
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