We reformulate the recently proposed regularized version of Lovelock gravity in four dimensions as a scalar-tensor theory. By promoting the warp factor of the internal space to a scalar degree of freedom by means of Kaluza-Klein reduction, we show that regularized Lovelock gravity can be described effectively by a certain subclass of the Horndeski theory. Cosmological aspects of this particular scalar-tensor theory are studied. It is found that the background with a scalar charge is generically allowed. The consequences of this scalar charge are briefly discussed.

中文翻译：

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四维正则化洛夫洛克引力的有效标量张量描述

我们将最近提出的洛夫洛克引力的四维正则化版本重新表述为标量张量理论。通过利用 Kaluza-Klein 约简将内部空间的翘曲因子提升到一个标量自由度，我们表明正则化的 Lovelock 引力可以被 Horndeski 理论的某个子类有效地描述。研究了这个特定的标量张量理论的宇宙学方面。发现带有标量电荷的背景一般是允许的。简要讨论了这种标量电荷的后果。