Electromagnetism in Curved Spacetimes: Coupling of the Doppler and Gravitational Redshifts
arXiv:1912.11851 · doi:10.1109/MAP.2021.3099714
Abstract
We present the basic prerequisites of electromagnetism in flat spacetime and provide the description of electromagnetism in terms of the Faraday tensor. We generalise electromagnetic theory to a general relativistic setting, introducing the Einstein field equations to describe the propagation of electromagnetic radiation in curved space-time. We investigate gravitational redshift and derive formulae for the combined effect of gravitational redshift and the Doppler shift in curved spacetime.
11 pages, 4 figures; v4 typos corrected. In previous versions, the emitted and observed frequencies were mislabelled in the section "Gravitational Redshift."