Abstract
In the previous paper, we have constructed two f(T) models with non-minimal 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 non-minimal coupling between matter and torsion will affect the tests of the Solar system. In this paper, we study the effects of the Solar system in these models, including the gravitation redshift, geodetic effect and perihelion precession. We find that Model I can pass all three of the Solar system tests. For Model II, the parameter is constrained by the uncertainties of the planets’ estimated perihelion precessions.
Highlights
General relativity (GR), whose centenary was recently celebrated [1,2], uses the metric tensor as the fundamental dynamical variable, and chooses the torsionless Levi-Civitá connection to describe the gravitation field
In the previous research [31], using the observation data of type Ia supernovae (SNeIa), cosmic microwave background (CMB), and baryon acoustic oscillations (BAO), we established two concrete f (T ) models with non-minimal torsion–matter coupling extension, and we found that they are successful in describing the observation of the Universe and its large-scale structure and evolution
We have studied the gravitation redshift, geodetic effect and perihelion precession in the two concrete models of f (T ) theory with non-minimal torsion–matter coupling extension, which have been previously constructed and investigated for cosmology
Summary
General relativity (GR), whose centenary was recently celebrated [1,2], uses the metric tensor as the fundamental dynamical variable, and chooses the torsionless Levi-Civitá connection to describe the gravitation field. Solar system effects in some modified gravities including minimal coupling f (T ) models have been considered [38,39,40,41,42,43,44]. We consider the Solar system tests including the gravitation redshift, geodetic effect, and perihelion precession in the two models we have constructed in Ref. We have gotten the cosmological restriction using the observation data of SNeIa, CMB and BAO as follows [31]: A = 0.188 ± 0, 048, B = 0.510 ± 0.060 (for Model I); A = 0.633 ± 0.012 and B is a free parameter (for Model II) It is our task in this paper to check whether or not these values of parameters will pass the Solar system tests.
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