## Appendix A  
\[N_{r}^{t} = \frac{h_{t}\Big{(}-\Big{(}\frac{\partial}{\partial r}\theta_{r}^{ t}\Big{)}r_{i}Q_{11}^{t}h_{t}-\Big{(}\frac{\partial}{\partial r}\theta_{r}^{ c}\Big{)}r_{i}Q_{11}^{t}h_{c}+2\Big{(}\frac{\partial}{\partial r}u\Big{)}r_{i}Q_{11}^{t}-(Q_{4 12}h_{t})\theta_{r}^{t}-\big{(}Q_{12}^{t}h_{c}\big{)}\theta_{r}^{c}+\big{(}2Q _{12}^{t}\big{)}u\Big{)}}}{r_{i}},\] \[N_{r}^{c} = 2Q_{11}^{c}\Bigg{(}\frac{\partial}{\partial r}u\Big{)}h_{c}+2 \frac{\big{(}Q_{11}^{c}h_{c}\big{)}u}{r_{i}},\] \[N_{r}^{b} = \frac{h_{b}\Big{(}\Big{(}\frac{\partial}{\partial r}\theta_{r}^{ b}\Big{)}r_{i}Q_{11}^{b}h_{b}+\Big{(}\frac{\partial}{\partial r}\theta_{r}^{ c}\Big{)}r_{i}Q_{11}^{b}h_{c}+\Big{(}Q_{12}^{b}h_{b}\Big{)}\theta_{r}^{b}+2 \Big{(}\frac{\partial}{\partial r}u\Big{)}r_{i}Q_{11}^{b}+\big{(}Q_{12}^{c}h_{ c}\big{)}\theta_{r}^{c}+\Big{(}2Q_{12}^{b}\big{)}u\Big{)}}}{r_{i}},\] \[M_{r}^{t} = \frac{2}{3}\frac{h_{t}\Big{(}\Big{(}\frac{\partial}{\partial r} \theta_{r}^{t}\Big{)}r_{i}Q_{11}^{t}h_{1}{}^{2}+\theta_{r}^{t}\big{(}Q_{12}^{ t}h_{t}{}^{2}\Big{)}+(3e_{31}{}^{a}r_{i})\theta_{r}^{t}\Big{)}}}{r_{i}},\] \[M_{r}^{c} = \frac{2}{3}\Bigg{(}Q_{11}^{c}\frac{\partial}{\partial r}\theta_{r }^{c}+\Bigg{(}\frac{Q_{12}^{t}}{r_{i}}\Bigg{)}\theta_{r}^{c}\Bigg{)}h_{c}{}^{3},\] \[M_{r}^{b} = \frac{2}{3}\frac{h_{b}\Big{(}\Big{(}\frac{\partial}{\partial r} \theta_{r}^{b}\Big{)}r_{i}Q_{11}^{b}h_{b}{}^{2}+\Big{(}Q_{12}^{b}h_{3}{}^{2} \Big{)}\theta_{r}^{b}+(3e_{31}{}^{a}r_{i})\varphi_{r}^{t}\Big{)}}{r_{i}}\] \[N_{\theta}^{t} = \frac{h_{t}\Big{(}-\Big{(}\frac{\partial}{\partial r}\theta_{r}^ {c}\Big{)}r_{i}Q_{12}^{t}h_{2}-\Big{(}\frac{\partial}{\partial r}\theta_{r}^{ t}\Big{)}r_{i}Q_{12}^{t}h_{1}+2\Big{(}\frac{\partial}{\partial r}u\Big{)}r_{i}Q_{12 }^{t}-\big{(}Q_{22}^{t}h_{c}\big{)}\theta_{r}^{c}-\big{(}Q_{22}^{t}h_{t}\big{)} \theta_{r}^{t}+\big{(}2Q_{22}^{t}\big{)}u\Big{)}}{r_{i}},\] \[N_{\theta}^{c} = 2Q_{22}^{c}\Bigg{(}\frac{\partial}{\partial r}u\Big{)}h_{c}+2 \Bigg{(}\frac{Q_{22}^{c}h_{c}}{r_{i}}\Big{)}u,\] \[N_{\theta}^{b} = \frac{h_{b}\Big{(}\Big{(}\frac{\partial}{\partial r}\theta_{r}^ {c}\Big{)}r_{i}Q_{12}^{b}h_{2}+\Big{(}\frac{\partial}{\partial r}\theta_{r}^{ b}\Big{)}r_{i}Q_{12}^{b}h_{12}h_{b}+2\Big{(}\frac{\partial}{\partial r}u \Big{)}r_{i}Q_{12}^{b}+\Big{(}Q_{22}^{b}h_{2}\Big{)}\theta_{r}^{c}+\Big{(}Q_{22 }^{b}h_{3}\Big{)}\theta_{r}^{b}+\Big{(}2Q_{22}^{b}\Big{)}u\Big{)}}{r_{i}},\] \[M_{\theta}^{t} = \frac{2h_{t}}{3r_{i}}\bigg{(}\bigg{(}\frac{\partial}{\partial r} \theta_{r}^{t}\Big{)}r_{i}Q_{12}^{t}h_{t}{}^{2}+\Big{(}Q_{22}^{a}h_{t}{}^{2} \Big{)}\theta_{r}^{t}+(3e_{32}{}^{a}r_{i})\varphi_{r}^{t}\bigg{)},\] \[M_{\theta}^{c} = \frac{2}{3}\bigg{(}Q_{12}^{c}\bigg{(}\frac{\partial}{\partial r} \theta_{r}^{c}\Big{)}+\bigg{(}\frac{Q_{22}^{c}}{r_{i}}\bigg{)}\theta_{r}^{c} \bigg{)}h_{c}{}^{3},\] \[M_{\theta}^{b} = \frac{2}{3}\frac{h_{c}\Big{(}\Big{(}\frac{\partial}{\partial r} \theta_{r}^{b}\Big{)}r_{i}Q_{12}^{b}h_{3}{}^{2}+\Big{(}Q_{22}^{b}h_{3}{}^{2} \Big{)}\theta_{r}^{b}+(3e_{32}{}^{c}r_{i})\varphi_{r}^{t}\Big{)}}{r_{i}},\]\[Q_{r}^{t} = 2\bigg{(}\frac{\partial}{\partial r}w\bigg{)}Q_{44}^{t}h_{t}+\big{(} 2Q_{44}^{t}h_{t}\big{)}\theta_{r}^{t},\] \[Q_{r}^{c} = 2\bigg{(}\frac{\partial}{\partial r}w\bigg{)}Q_{44}^{c}h_{2}+(2Q_{4 4}^{c}h_{c})\theta_{r}^{c},\] \[Q_{r}^{b} = 2\bigg{(}\frac{\partial}{\partial r}w\bigg{)}Q_{44}^{b}h_{3}+ \big{(}2Q_{44}^{b}h_{b}\big{)}\theta_{r}^{b},\]