We consider the perturbation of the Schwarzschild solution by the perimeter action. The asymptotic behaviour of the solution at infinity and at the horizon are calculated and analysed in the first approximation. In the regions far from the matter sources the perturbations are characterised by the ratio of the Plank length to the Schwarzschild radius and are infinitesimally small. At short distances the perturbation is large and there appears a space-time region of the Schwarzschild radius scale that is unreachable by test particles. These regions are located there where the standard theory of gravity has singularities.

中文翻译：

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具有周边作用和重力奇点的重力

我们考虑周长作用对Schwarzschild解的扰动。在第一近似中，计算并分析了无穷远处和水平处解的渐近行为。在远离物质源的区域中，扰动的特征在于木板长度与Schwarzschild半径之比，并且无穷小。在短距离处，扰动很大，并且出现了Schwarzschild半径标度的时空区域，测试粒子无法到达该区域。这些区域位于标准重力理论具有奇点的地方。