Testing General Free Functions in Preferred Scale Theories

TL;DR

This paper investigates the parameter space of free functions in non-relativistic modified gravity theories, proposing tests to constrain these models using Solar System data, with implications for k-essence and scalar-tensor theories.

Contribution

It introduces new tests and methods to constrain free functions in modified gravity theories, extending previous work to include Solar System constraints and potential tests of k-essence models.

Findings

Proposed tests to constrain free functions in modified gravity.

Updated Solar System constraints on non-relativistic theories.

Potential to test k-essence type theories.

Abstract

Building on previous work, we explore the parameter space of general free functions in non-relativistic modified gravity theories motivated by k-essence and other scalar-tensor theories. Using a few proposed tests, we aim to update Solar System based constraints on these ideas in line with previous theories and suggest their utility in constraining modification to GR, potentially even being able to test k-essence type theories.