论文标题
爱因斯坦 - 加斯 - 邦网理论的正则场方程的推导四个维度
Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
论文作者
论文摘要
我们提出了一种新型爱因斯坦 - 加斯 - 邦纳特重力理论的正则化程序，该理论产生了一组磁场方程，可以在四个维度中以封闭形式写入。我们的方法包括将计数器术语引入该动作，并且不依赖于任何高维空间的嵌入或压缩。该反术语足以取消原本会发生的动作中的差异，并准确地再现了理论原始公式的场方程的痕迹。与Lovelock定理的要求保持一致，所有其他场方程在引力部门中均显示出额外的标量重力自由度。我们讨论有关我们新的正规理论与原始理论之间等效性的问题。
We propose a regularization procedure for the novel Einstein-Gauss-Bonnet theory of gravity, which produces a set of field equations that can be written in closed form in four dimensions. Our method consists of introducing a counter term into the action, and does not rely on the embedding or compactification of any higher-dimensional spaces. This counterterm is sufficient to cancel the divergence in the action that would otherwise occur, and exactly reproduces the trace of the field equations of the original formulation of the theory. All other field equations display an extra scalar gravitational degree of freedom in the gravitational sector, in keeping with the requirements of Lovelock's theorem. We discuss issues concerning the equivalence between our new regularized theory and the original.
