https://haifei-home.pages.dev/tags/%E5%B9%BF%E4%B9%89%E7%9B%B8%E5%AF%B9%E8%AE%BA/Recent content in 广义相对论 on Haifei's HomeHugozh-CNhfwang132@gmail.com (hfwang132)hfwang132@gmail.com (hfwang132)This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.Tue, 29 Jul 2025 15:08:10 +0800https://haifei-home.pages.dev/post_20250729_%E4%BB%80%E4%B9%88%E6%98%AF%E8%81%94%E7%BB%9C-%E6%9B%B4%E9%AB%98%E6%9B%B4%E5%A6%99%E7%9A%84%E7%94%B5%E5%8A%A8%E5%8A%9B%E5%AD%A6-%E7%95%AA%E5%A4%96%E7%AF%87-1/Tue, 29 Jul 2025 15:08:10 +0800hfwang132@gmail.com (hfwang132)https://haifei-home.pages.dev/post_20250729_%E4%BB%80%E4%B9%88%E6%98%AF%E8%81%94%E7%BB%9C-%E6%9B%B4%E9%AB%98%E6%9B%B4%E5%A6%99%E7%9A%84%E7%94%B5%E5%8A%A8%E5%8A%9B%E5%AD%A6-%E7%95%AA%E5%A4%96%E7%AF%87-1/<p>在<a href="https://zhuanlan.zhihu.com/p/23958176393" target="_blank" rel="noopener noreffer ">前面的文章</a>中，我们说电磁场是联络。这让很多同学想到广义相对论里的联络。这两种联络有什么区别和共同点？</p> <p>电磁场联络 \(A\) 是主丛上的联络，而广义相对论联络 \(\Gamma\) 是矢量丛上的联络，它们的定义方式看似很不同。有没有办法将它们联系起来呢？</p>https://haifei-home.pages.dev/post_20250427_%E5%85%8B%E6%B0%8F%E7%AC%A6%E5%88%B0%E5%BA%95%E6%98%AF%E4%B8%8D%E6%98%AF%E5%BC%A0%E9%87%8F/Sun, 27 Apr 2025 23:12:31 +0800hfwang132@gmail.com (hfwang132)https://haifei-home.pages.dev/post_20250427_%E5%85%8B%E6%B0%8F%E7%AC%A6%E5%88%B0%E5%BA%95%E6%98%AF%E4%B8%8D%E6%98%AF%E5%BC%A0%E9%87%8F/<p>个人最喜欢的理解是把 $\Gamma$ 看成标架丛上的联络，这样一来，克氏符的变换规则</p> <p>$\boxed{ \begin{aligned} \bar{\Gamma}^i_{\mu j} = \frac{\partial \bar{x}^i}{\partial x^k}\frac{\partial x^l}{\partial \bar{x}^j} \frac{\partial x^\nu}{\partial \bar{x}^\mu} \Gamma^k_{\nu l} \color{red}{ + \frac{\partial \bar{x}^i}{\partial x^k} \frac{\partial^2 x^k}{\partial x^\mu \partial \bar{x}^j}} \end{aligned} }$</p> <p>就只不过是一个规范变换：</p>