General Relativity: An Introduction for Physicists · Problem 5.8

Special relativity revisited — Hobson, Efstathiou & Lasenby

Physics · 4-acceleration-in-IRF

Problem

Show that in its own instantaneous rest frame (IRF), a particle's 4-acceleration is given by

[a^\mu] = (0, \vec{a})

, where

\vec{a}

is the 3-acceleration of the particle in the IRF.