https://doi.org/10.1140/epjc/s10052-019-7226-1
Regular Article - Theoretical Physics
The Chaplygin gas as a model for modified teleparallel gravity?
1
Astronomy and Astrophysics Department, Entoto Observatory and Research Center, Ethiopian Space Science and Technology Institute, Addis Ababa, Ethiopia
2
Department of Physics, College of Natural and Computational Science, Wolkite University, Wolkite, Ethiopia
3
Department of Physics, College of Science and Technology, University of Rwanda, Kigali, Rwanda
4
Center for Space Research, North-West University, Potchefstroom, South Africa
5
Center for Space Research, North-West University, Mahikeng, South Africa
* e-mail: shambel.sahlu@wku.edu.et
Received:
22
April
2019
Accepted:
17
August
2019
Published online:
9
September
2019
This paper explores the possibility of treating the exotic Chaplygin-gas (CG) fluid model as some manifestation of an f(T) gravitation. To this end, we use the different cosmological CG equations of state, compare them with the equation of state for the modified teleparallel gravity and reconstruct the corresponding Lagrangian densities. We then explicitly derive the equation of state parameter of the torsion fluid 
and study its evolution for vacuum-torsion, radiation-torsion, dust-torsion, stiff fluid-torsion and radiation-dust-torsion multi-fluid systems. The obtained Lagrangians have, in general, matter dependence due to the matter-torsion coupling appearing in the energy density and pressure terms of the modified teleparallel gravity theory. For the simplest CG models, however, it is possibly to reconstruct f(T) Lagrangians that depend explicitly on the torsion scalar T only. The preliminary results show that, in addition to providing Chaplygin-gas-like solutions to the modified teleparallel gravitation, which naturally behave like dark matter and dark energy at early and late times respectively, the technique can be used to overcome some of the challenges attributed to the CG cosmological alternative.
© The Author(s), 2019
