Non-minimal coupling of torsion–matter satisfying null energy condition for wormhole solutions

The European Physical Journal C

Shamaila Rani¹  Abdul Jawad¹ 

[1] Department of Mathematics, COMSATS Institute of Information Technology, 54000, Lahore, Pakistan;

关键词: Shape Function;    Matter Coupling;    Null Energy Condition;    Teleparallel Gravity;    Exotic Matter;   

DOI  :  10.1140/epjc/s10052-016-4560-4

来源: Springer

【 摘 要 】

We explore wormhole solutions in a non-minimal torsion–matter coupled gravity by taking an explicit non-minimal coupling between the matter Lagrangian density and an arbitrary function of the torsion scalar. This coupling describes the transfer of energy and momentum between matter and torsion scalar terms. The violation of the null energy condition occurred through an effective energy-momentum tensor incorporating the torsion–matter non-minimal coupling, while normal matter is responsible for supporting the respective wormhole geometries. We consider the energy density in the form of non-monotonically decreasing function along with two types of models. The first model is analogous to the curvature–matter coupling scenario, that is, the torsion scalar with T-matter coupling, while the second one involves a quadratic torsion term. In both cases, we obtain wormhole solutions satisfying the null energy condition. Also, we find that the increasing value of the coupling constant minimizes or vanishes on the violation of the null energy condition through matter.

【 授权许可】

CC BY