Cosmology of Chameleons with Power-Law Couplings
David F. Mota, Hans A. Winther

TL;DR
This paper explores chameleon scalar field theories with power-law couplings and potentials, showing they can mimic LCDM expansion but may affect structure growth, with some models constrained by local gravity tests.
Contribution
It extends chameleon models to include power-law couplings and analyzes their cosmological implications and observational signatures.
Findings
Viable models have background expansion close to LCDM.
Some models can enhance growth of linear perturbations at low redshifts.
Local gravity constraints exclude certain parameter regions, but dark matter coupling can evade this.
Abstract
In chameleon field theories a scalar field can couple to matter with gravitational strength and still evade local gravity constraints due to a combination of self-interactions and the couplings to matter. Originally, these theories were proposed with a constant coupling to matter, however, the chameleon mechanism also extends to the case where the coupling becomes field-dependent. We study the cosmology of chameleon models with power-law couplings and power-law potentials. It is found that these generalized chameleons, when viable, have a background expansion very close to LCDM, but can in some special cases enhance the growth of the linear perturbations at low redshifts. For the models we consider it is found that this region of the parameter space is ruled out by local gravity constraints. Imposing a coupling to dark matter only, the local constraints are avoided, and it is possible…
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