$h_1^{\mu \nu }=\left(\begin{array}{cccc}a& 0& 0& 0\\ 0& b& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 0& 0\end{array}\right)$

$h_2^{\mu \nu }=\left(\begin{array}{cccc}a& 0& 0& 0\\ 0& 0& 0& 0\\ 0& 0& b& 0\\ 0& 0& 0& 0\end{array}\right)$

$h_3^{\mu \nu }=\left(\begin{array}{cccc}a& 0& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 0& b\end{array}\right)$

${{\eta }^{\prime }}_1^{\mu \nu }=\left(\begin{array}{cccc}-1& 0& 0& 0\\ 0& 1& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 0& 0\end{array}\right)$

${{\eta }^{\prime }}_2^{\mu \nu }=\left(\begin{array}{cccc}-1& 0& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 0\end{array}\right)$

${{\eta }^{\prime }}_3^{\mu \nu }=\left(\begin{array}{cccc}-1& 0& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 0& 1\end{array}\right)$

$g_1^{\mu \nu }=\left(\begin{array}{cccc}-1+ka& 0& 0& 0\\ 0& 1+kb& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 0& 0\end{array}\right)$

$g_2^{\mu \nu }=\left(\begin{array}{cccc}-1+ka& 0& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 1+kb& 0\\ 0& 0& 0& 0\end{array}\right)$

$g_3^{\mu \nu }=\left(\begin{array}{cccc}-1+ka& 0& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 0& 0\\ 0& 0& 0& 1+kb\end{array}\right)$