自旋系数形式的巴赫方程
The Bach equations in Spin-Coefficient form
摘要：
共形引力理论是由场方程定义的，场方程只决定时空流形的共形结构。巴赫方程代表了这样一个理论的早期例子，我们在这里提出他们的组件形式的自旋和助推加权自旋系数使用压缩自旋系数形式主义。这些方程可以作为标准张量形式的有效替代。作为一个简单的应用，我们解决巴赫方程的pp波和静态球对称时空。
英文摘要：
Conformal gravity theories are defined by field equations that determine only the conformal structure of the spacetime manifold. The Bach equations represent an early example of such a theory, we present them here in component form in terms of spin- and boost-weighted spin-coefficients using the compacted spin-coefficient formalism. These equations can be used as an efficient alternative to the standard tensor form. As a simple application we solve the Bach equations for pp-wave and static spherically symmetric spacetimes.
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