General Relativity: An Introduction for Physicists · Problem 7.3

The equivalence principle and spacetime curvature — Hobson, Efstathiou & Lasenby

Physics · local-cartesian-coordinates-lorentz

Problem

X^\mu

is a local Cartesian coordinate system at some event

P

, show that so too is the coordinate system

X'^\mu = \Lambda^\mu_{\ \nu} X^\nu

, where

\Lambda^\mu_{\ \nu}

defines a Lorentz transformation.