The fate of horizons under quantum corrections

TL;DR

This paper investigates how quantum corrections, specifically a Weyl cube operator, affect the stability and properties of horizons in Schwarzschild de Sitter spacetime.

Contribution

It introduces a deformation of the Einstein-Hilbert action with a Weyl cube operator and analyzes its impact on horizon structure and spacetime solutions.

Findings

Quantum corrections modify horizon properties.

The Weyl cube operator introduces tensions with classical solutions.

Insights into two-loop counterterm effects on spacetime geometry.

Abstract

We have studied a lagrangian in which the Einstein-Hilbert term is deformed by the Weyl cube operator, which is the lowest-dimension operator that is non-vanishing on shell and appears as a two-loop counterterm. There is a tension between the Schwarzschild de Sitter (SdS) spacetime and this operator, which we study in some detail.