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.

Categories: gr-qc math-ph math.MP

Electromagnetism in Curved Spacetimes: Coupling of the Doppler and Gravitational Redshifts