托尔曼度规

托尔曼度规（英语：Tolman metric）是描述能量-动量张量为流体的场的度规，是时间的函数。数学表示为：

$\mathrm {d} s^{2}=-\mathrm {d} t^{2}+{\frac {{\bar {R'}}^{2}(t,r)}{1+f(r)}}\mathrm {d} r^{2}+{\bar {R}}^{2}(t,r)(\mathrm {d} \theta ^{2}+\sin ^{2}\theta \mathrm {d} \varphi ^{2})$$\mathrm {d} s^{2}=-\mathrm {d} t^{2}+{\frac {{\bar {R'}}^{2}(t,r)}{1+f(r)}}\mathrm {d} r^{2}+{\bar {R}}^{2}(t,r)(\mathrm {d} \theta ^{2}+\sin ^{2}\theta \mathrm {d} \varphi ^{2})$