The torsion cosmology in Kaluza-Klein theory

TL;DR

This paper explores torsion cosmology within Kaluza-Klein theory, demonstrating that certain torsion configurations can explain the universe's acceleration without dark energy, supported by supernovae data.

Contribution

It introduces two torsion models in Kaluza-Klein cosmology, showing that torsion alone can drive acceleration and address the age problem, with empirical support.

Findings

The first model requires dark energy for acceleration.

The second model achieves acceleration without dark energy.

Supernovae data support the second torsion model.

Abstract

We have studied the torsion cosmology model in Kaluza-Klein theory. We considered two simple models in which the torsion vectors are $A_{\mu}=(\alpha,0,0,0)$ and $A_{\mu}=a(t)^2(0,\beta,\beta,\beta)$, respectively. For the first model, the accelerating expansion of the Universe can be not explained without dark energy which is similar to that in the standard cosmology. But for the second model, we find that without dark energy the effect of torsion can give rise to the accelerating expansion of the universe and the alleviation of the well-known age problem of the three old objects for appropriated value of the model parameter $\beta$. These outstanding features of the second torsion cosmology model have been supported by the Type Ia supernovae (SNIa) data.