We construct a formal asymptotic series expansion for a general solution of the Brans–Dicke equations with a fluid source near a sudden singularity. This solution contains 11 independent arbitrary functions of the spatial coordinates as required by the Cauchy problem of the theory. We show that the solution is geodesically complete and has the character of a shock wave in the sudden asymptotic region. This solution is weak in the senses of Tipler and Krolak as in the corresponding case of general relativity.

A preprint version of the article is available at ArXiv.

中文翻译：

---

Brans–Dicke理论中的一般突然奇点

我们为流体奇异点附近的Brans–Dicke方程的一般解构造了形式渐近级数展开。该解决方案包含该理论的柯西问题所要求的11个独立的空间坐标任意函数。我们证明了该解是测地学上完整的，并且在突然渐近区域具有冲击波的特征。在广义相对论的相应情况下，这种解决方案在Tipler和Krolak的意义上是薄弱的。

该文章的预印本可从ArXiv获得。