Solar system tests for realistic $f(T)$ models with nonminimal torsion-matter coupling

TL;DR

This paper evaluates two $f(T)$ gravity models with nonminimal torsion-matter coupling against Solar system tests, finding that one model passes all tests while the other is constrained by Mercury's perihelion precession.

Contribution

It introduces and tests two new $f(T)$ gravity models with nonminimal torsion-matter coupling against Solar system observations.

Findings

Model I passes all Solar system tests.

Model II is constrained by Mercury's perihelion precession.

Both models successfully describe cosmic evolution.

Abstract

In the previous paper, we have constructed two $f(T)$ models with nonminimal torsion-matter coupling extension, which are successful in describing the evolution history of the Universe including the radiation-dominated era, the matter-dominated era, and the present accelerating expansion. Meantime, the significant advantage of these models is that they could avoid the cosmological constant problem of $\Lambda$CDM. However, the nonminimal coupling between matter and torsion will affect the tests of Solar system. In this paper, we study the effects of Solar system in these models, including the gravitation redshift, geodetic effect and perihelion preccesion. We find that Model I can pass all three of the Solar system tests. For Model II, the parameter is constrained by the measure of the perihelion precession of Mercury.