Black Hole Solutions in Quantum Gravity with Vilkovisky-DeWitt Effective Action

TL;DR

This paper explores novel black hole solutions in quantum gravity by applying the Vilkovisky-DeWitt effective action, revealing quantum corrections that lead to new horizon and far-field solutions.

Contribution

It introduces a method to incorporate quantum gravitational corrections into black hole solutions using the Vilkovisky-DeWitt effective action, extending previous quadratic gravity results.

Findings

Existence of new black hole solutions near the horizon

Quantum corrections modify classical Einstein solutions

Solutions are valid in both near-horizon and far-field regimes

Abstract

We study new black hole solutions in quantum gravity. We use the Vilkovisky-DeWitt unique effective action to obtain quantum gravitational corrections to Einstein's equations. In full analogy to previous work done for quadratic gravity, we find new black hole like solutions. We show that these new solutions exist close to the horizon and in the far-field limit.