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

TL;DR

This paper extends classical electromagnetism to curved spacetime, deriving formulas that combine gravitational redshift and Doppler effects, enhancing understanding of electromagnetic phenomena in general relativity.

Contribution

It generalizes electromagnetic theory to curved spacetime and derives combined redshift formulas, bridging electromagnetism and general relativity.

Findings

Derived formulas for combined gravitational and Doppler redshift.

Extended electromagnetic theory to general relativistic settings.

Provided foundational descriptions of electromagnetism in curved spacetime.

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.