Improvement of the classical gravity with the running gravitational coupling obtained from asymptotically safe gravity, is a good way of considering the effects of quantum gravity. This is usually done for metric theories of gravity. Here we investigate the effects of such an improvement for pure affine theories of gravity. To motivate the approach, we first consider the effects of quantum improvement on the connection using metric theory and investigate the effects on the causal structure of black hole solution. Next in the framework of Schrödinger–Eddington affine theory, the general way of affine improvement is presented and a spherically symmetric solution is obtained and compared with other ways of improvement.

通过从渐近安全引力获得的运行引力耦合来改进经典引力，是考虑量子引力效应的一种好方法。这通常是针对公制引力理论来完成的。在这里，我们研究了这种改进对纯仿射引力理论的影响。为了激发这种方法，我们首先使用量度理论考虑了量子改进对连接的影响，并研究了其对黑洞解因果结构的影响。接下来，在Schrödinger–Eddington仿射理论的框架内，提出了仿射改进的一般方法，并获得了球对称解，并将其与其他改进方法进行了比较。