Extended Cosmologies

TL;DR

This paper introduces a framework for analyzing extended cosmological models using a 'model surface' in observable parameter space, enabling comparison with data and potential falsification of entire theory families.

Contribution

It proposes the concept of a model surface in observable space to compare extended gravity theories with observations, offering a new method for testing cosmological models.

Findings

The model surface can distinguish between different families of theories.

The approach allows for falsifying entire classes of models.

It provides a new tool for cosmological model testing.

Abstract

We shall discuss cosmological models in extended theories of gravitation. We shall define a surface, called the model surface, in the space of observable parameters which characterises families of theories. We also show how this surface can be used to compare with observations. The model surface can potentially be used to falsify whole families of models instead reasoning on a single model basis as it is usually done by best fit arguments with observations.