论文标题
四维爱因斯坦 - 加斯邦网的不一致性
Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
论文作者
论文摘要
我们试图阐明有关最近提出的四维爱因斯坦 - 加斯 - 尼特重力的几个方面。我们认为[物理学中概述了限制过程。莱特牧师。 124，081301（2020）]通常涉及四个维场方程中的不确定项。讨论了解决这个问题的潜在方法，以及有关该理论的特定解决方案的一些评论。我们证明，尽管线性扰动在最大对称的背景周围表现良好，但即使在Minkowskian背景周围，二阶扰动的方程也是不确定的。此外，我们对球形对称溶液进行详细分析，并发现可以在有限的适当时间内达到中央曲率奇异性。
We attempt to clarify several aspects concerning the recently presented four-dimensional Einstein-Gauss-Bonnet gravity. We argue that the limiting procedure outlined in [Phys. Rev. Lett. 124, 081301 (2020)] generally involves ill-defined terms in the four dimensional field equations. Potential ways to circumvent this issue are discussed, alongside some remarks regarding specific solutions of the theory. We prove that, although linear perturbations are well behaved around maximally symmetric backgrounds, the equations for second-order perturbations are ill-defined even around a Minkowskian background. Additionally, we perform a detailed analysis of the spherically symmetric solutions, and find that the central curvature singularity can be reached within a finite proper time.
