# Electric charge in hyperbolic motion: the special conformal transformation solution

## TL;DR

This paper derives the electromagnetic field of an electric charge in hyperbolic motion using special conformal transformations, providing a geometric perspective with Minkowski diagrams, enhancing intuitive understanding.

## Contribution

It introduces a geometrical approach to derive electromagnetic fields for hyperbolic motion via special conformal transformations, differing from algebraic methods.

## Key findings

- Derived electromagnetic field expressions for hyperbolic motion.
- Provided a Minkowski diagram-based geometric interpretation.
- Enhanced intuitive understanding of charge motion in relativistic contexts.

## Abstract

As a simple application of special conformal transformations, we derive the electromagnetic field produced by an electric charge in hyperbolic motion. Unlike other purely algebraic derivations, here we develop a more intuitive geometrical description, based on Minkowski diagrams.