Following recent works on corner charges we investigate the boundary structure in the case of the theory of gravity formulated as a constrained BF theory. This allows us not only to introduce the cosmological constant, but also explore the influence of the topological terms present in the action of this theory. Established formulas for charges resemble previously obtained ones, but we show that they are affected by the presence of the cosmological constant and topological terms. As an example we discuss the charges in the case of the AdS-Schwarzschild solution and we find that the charges give correct values.

A preprint version of the article is available at ArXiv.

中文翻译：

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重力角：重力作为约束 BF 理论的情况

根据最近关于角电荷的工作，我们研究了重力理论作为约束 BF 理论的情况下的边界结构。这使我们不仅可以引入宇宙常数，还可以探索存在于该理论作用中的拓扑项的影响。已建立的电荷公式类似于先前获得的公式，但我们表明它们受到宇宙常数和拓扑项存在的影响。作为示例，我们讨论 AdS-Schwarzschild 解决方案中的费用，我们发现费用给出了正确的值。

该文章的预印版可在 ArXiv 上获得。