# 表面重力

## 質量、半徑和表面重力

${\displaystyle {\frac {0.107}{0.532^{2}}}=0.38}$

${\displaystyle g={\frac {GM}{r^{2}}}}$

${\displaystyle g={{\frac {4\pi }{3}}G\rho r}}$

## 黑洞的表面重力

${\displaystyle k^{a}\nabla _{a}k^{b}=\kappa k^{b}}$,

### 克尔-纽曼解

${\displaystyle \kappa ={\frac {r_{+}-r_{-}}{2(r_{+}^{2}+a^{2})}}={\frac {\sqrt {M^{2}-Q^{2}-J^{2}/M^{2}}}{2M^{2}-Q^{2}+2M{\sqrt {M^{2}-Q^{2}-J^{2}/M^{2}}}}}}$,

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