A Boost in an Arbitrary Direction

More generally for a boost in an arbitrary direction $\bgroup\color{black}$ (\beta_{x}, \beta_{y}, \beta_{z})$\egroup$ ,

$\bgroup\color{black}$\displaystyle \begin{pmatrix}c\,t' \cr x' \cr y' \cr z'\end... ...a^{2}}\cr\end{pmatrix}\begin{pmatrix}c\,t \cr x \cr y \cr z\end{pmatrix}$\egroup$

Jim Branson 2012-10-21