  The transformation law for a 4-acceleration field can be obtained  from (33) by replacing  \(\overline{\gamma}^{i}_{2}\) by  \(\overline{A}^{i}_{2}(\overline{x}^{i},\overline{\gamma}^{i}_{1})\) and \(\gamma^{j}_{2}\) by \(A^{j}_{2}(x^{i}, \gamma^{i}_{1}\)) to yield