General Relativity: An Introduction for Physicists · Problem 2.13

Manifolds and coordinates — Hobson, Efstathiou & Lasenby

Physics · coordinate-transformation-minkowski

Problem

By identifying a suitable coordinate transformation, show that the line element

ds^2 = (c^2 - a^2t^2)\,dt^2 - 2at\,dt\,dx - dx^2 - dy^2 - dz^2,

where

a

is a constant, can be reduced to the Minkowski line element.