More on effective composite metrics

TL;DR

This paper investigates various effective composite metrics in bimetric gravity, identifying a unique classical-viable metric among several quantum-consistent options, ensuring both quantum and classical consistency.

Contribution

It introduces a classification of effective composite metrics in bimetric gravity and determines the only one consistent at both quantum and classical levels.

Findings

Only one effective metric remains consistent at the classical level.

Different classes of metrics are analyzed for quantum corrections.

The unique classical-viable metric ensures theoretical consistency.

Abstract

In this work we study different classes of effective composite metrics proposed in the context of one-loop quantum corrections in bimetric gravity. For this purpose we consider contributions of the matter loops in form of cosmological constants and potential terms yielding two types of effective composite metrics. This guarantees a nice behaviour at the quantum level. However, the theoretical consistency at the classical level needs to be ensured additionally. It turns out that among all these possible couplings only one unique effective metric survives this criteria at the classical level.