General Relativity: An Introduction for Physicists · Problem 7.4

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

Physics · fermi-walker-transport-scalar-product

Problem

If two vectors

\boldsymbol{v}

and

\boldsymbol{w}

are Fermi--Walker-transported along some observer's worldline, show that their scalar product

\boldsymbol{v} \cdot \boldsymbol{w}

is preserved at all points along the line.