The generalized evolution of linear bias: a tool to test gravity

TL;DR

This paper presents an exact analytical model for the evolution of linear bias in large-scale structure, applicable across various dark energy and modified gravity theories, enabling tests of gravity through observational bias data.

Contribution

It introduces a universal bias evolution model derived from linear perturbation theory, facilitating discrimination between different dark energy and gravity models using observational data.

Findings

Derived an exact analytical solution for bias evolution.

Applicable to all dark energy and modified gravity models.

Provides a new method to test gravity theories with bias data.

Abstract

We derive an exact analytical solution for the redshift evolution of linear and scale-independent bias, by solving a second order differential equation based on linear perturbation theory. This bias evolution model is applicable to all different types of dark energy and modified gravity models. We propose that the combination of the current bias evolution model with data on the bias of extragalactic mass tracers could provide an efficient way to discriminate between "geometrical" dark energy models and dark energy models that adhere to general relativity.