\( \begin{array}{l}d s^{2}=-e^{\int(x)} d t^{2}+e^{\varphi(x)} d r^{2}+r^{2} d \theta^{2}+r^{2} \sin ^{2} \theta d \varphi^{2}-(1) \\ \frac{1}{2}+T_{16}=R_{r \varepsilon} f_{R}-\frac{1}{2} g_{r \in f}+\left(g_{r \in} \square-\nabla_{\gamma} \nabla_{E}\right) f_{R}+\frac{1}{2} f_{\operatorname{Lm}}^{\operatorname{Lm}} \gamma_{x \in} \\ \begin{aligned} T_{r_{\epsilon}} & =\left(\rho+P_{t}\right) V_{y} V_{\epsilon}+\left(P_{y}-P_{t}\right) \\ & \chi_{\gamma}=\left(0, e^{\varphi / 2}, 0,0\right)\end{aligned} \\ V_{y}=\left(e^{I_{12}}, 0,0,0\right) \\ \rho=? \quad P_{Y}=? \quad P_{t}=\text { ? } \\\end{array} \)
