Towards modified bimetric theories within non-product spectral geometry

TL;DR

This paper explores a class of doubled geometry models with diagonal metrics, proposing they can be viewed as modified bimetric gravity theories, and takes initial steps to generalize this idea.

Contribution

It introduces a hypothesis linking doubled geometry models to modified bimetric gravity and advances understanding towards a more general framework.

Findings

Supports the interpretation of doubled geometry models as modified bimetric theories

Provides initial steps towards generalizing the approach to broader cases

Formulates a hypothesis based on analysis of known examples

Abstract

We discuss class of doubled geometry models with diagonal metrics. Based on the analysis of known examples we formulate a hypothesis that supports treating them as modified bimetric gravity theories. Certain steps towards the generic case are then performed.