General Relativity: An Introduction for Physicists · Problem 5.16

Special relativity revisited — Hobson, Efstathiou & Lasenby

Physics · pure-4-force-velocity-equation

Problem

For a pure 4-force

\boldsymbol{f}

acting on a particle of rest mass

m_0

, show that

m_0 \frac{d\vec{u}}{d\tau} = \gamma_u \vec{f}.