On the Quantum Improved Affine Gravity

TL;DR

This paper explores quantum improvements to pure affine gravity theories by incorporating running gravitational couplings from asymptotic safety, analyzing effects on black hole structures and deriving new solutions within Schrödinger-Eddington affine theory.

Contribution

It extends quantum improvement methods from metric to affine gravity theories and presents new spherically symmetric solutions in the affine framework.

Findings

Quantum improvement affects the causal structure of black holes.

A new spherically symmetric solution in affine gravity is derived.

Comparison shows differences between affine and metric quantum improvements.

Abstract

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 Schr\"odinger-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.