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arXiv 2009.01732gr-qchep-th
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Brans-Dicke理论中的类属突发奇点

The Generic Sudden Singularity in Brans-Dicke Theory

John D. Barrow, Spiros Cotsakis, Dimitrios Trachilis

摘要:

我们构造了一个形式的渐近级数展开的Brans-Dicke方程的一般解与流体源附近的突然奇点。该解包含了理论中柯西问题所要求的空间坐标的11个独立的任意函数。我们证明了该解是测地线完备的,并且在突然渐近区域具有激波的性质。这个解在蒂普勒和克罗拉克的意义下是弱的,就像在广义相对论的相应情况下一样。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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