Rindler coordinates

Summary

Rindler coordinates are coordinates on a wedge of Minkowski space adapted to a family of uniformly accelerated observers. They replace the Cartesian time and space coordinates $(ct, x)$ by hyperbolic polar coordinates $(\rho, \eta)$ with $ct = \rho \sinh\eta$ and $x = \rho \cosh\eta$. They are the simplest example of a non-inertial frame in special relativity and a model for the region near the horizon of a black hole.