TL;DR
This paper explores the combined evolution of cosmic expansion and growth histories to better distinguish between different cosmological models, including dark energy and modified gravity, by reducing degeneracies and enhancing visualization.
Contribution
It introduces a joint analysis method for expansion and growth histories, improving the discrimination of cosmological models compared to separate analyses.
Findings
Joint analysis relaxes shape degeneracy in growth curves
Method enhances visualization of redshift range contributions
Distinct signatures identified for various cosmologies
Abstract
Cosmological measurements of both the expansion history and growth history have matured, and the two together provide an important test of general relativity. We consider their joint evolutionary track, showing that this has advantages in distinguishing cosmologies relative to considering them individually or at isolated redshifts. In particular, the joint comparison relaxes the shape degeneracy that makes curves difficult to separate from the overall growth amplitude. The conjoined method further helps visualization of which combinations of redshift ranges provide the clearest discrimination. We examine standard dark energy cosmologies, modified gravity, and "stuttering" growth, each showing distinct signatures.
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