# Revisiting the conformal invariance of Maxwell's equations in curved spacetime

## TL;DR

This paper re-examines the conformal invariance of Maxwell's equations in curved spacetime, addressing aspects like the four-current, wave equations, and gauge conditions that are often overlooked.

## Contribution

It provides a comprehensive analysis of Maxwell's equations' behavior under conformal transformations, including the four-current and gauge conditions, challenging standard assumptions.

## Key findings

- Conformal invariance of Maxwell's equations extends to the four-current.
- Wave equations for the four-potential are invariant under conformal transformations.
- Gauge conditions' behavior under conformal transformations is clarified.

## Abstract

We revisit the invariance of the curved spacetime Maxwell equations under conformal transformations. Contrary to standard literature, we include the discussion of the four-current, the wave equations for the four-potential and the field, and the behaviour of gauge conditions under the conformal transformation.