论文标题

布兰斯 - 迪克理论中的通用突然奇异性

The Generic Sudden Singularity in Brans-Dicke Theory

论文作者

Barrow, John D., Cotsakis, Spiros, Trachilis, Dimitrios

论文摘要

我们构建形式的渐近系列扩展,以构建Brans-Dicke方程的一般解决方案,其流体源接近突然的奇异性。该解决方案包含该理论问题的凯奇问题所要求的空间坐标的11个独立的任意功能。我们表明该溶液在地球上是完整的,并且在突然的渐近区域具有冲击波的特征。在相应的相对性情况下,这种解决方案在Tipler和Krolak的感觉上很弱。

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 eleven 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.

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