论文标题
在四个维度上有一种新颖的爱因斯坦 - 加斯 - 邦网理论吗？
Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
论文作者
论文摘要
不！我们表明，在通用$ d> 4 $尺寸中定义的爱因斯坦 - 加斯 - 邦纳特理论的场方程分为两个部分，其中始终保持更高的维度，因此该理论没有$ d = 4 $的非平地限制。因此，最近引入的四维新颖的爱因斯坦 - 加斯 - 邦网理论不接受本质上的四维定义，因此它在四个维度中不存在。解决方案（时空，指标）始终保持$ d> 4 $尺寸。由于没有$ d $尺寸的通用指标的四个时空维度的规范选择，因此该理论在四个维度中并未很好地定义。
No! We show that the field equations of Einstein-Gauss-Bonnet theory defined in generic $D>4$ dimensions split into two parts one of which always remains higher dimensional, and hence the theory does not have a non-trivial limit to $D=4$. Therefore, the recently introduced four-dimensional, novel, Einstein-Gauss-Bonnet theory does not admit an intrinsically four-dimensional definition as such it does not exist in four dimensions. The solutions (the spacetime, the metric) always remain $D>4$ dimensional. As there is no canonical choice of 4 spacetime dimensions out of $D$ dimensions for generic metrics, the theory is not well defined in four dimensions.
