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Advances in High Energy Physics
Volume 2016, Article ID 7020162, 12 pages
http://dx.doi.org/10.1155/2016/7020162
Research Article

Isotropic Stars in Higher-Order Torsion Scalar Theories

1Centre for Theoretical Physics, The British University in Egypt, P.O. Box 43, El-Sherouk City 11837, Egypt
2Mathematics Department, Faculty of Science, Ain Shams University, Cairo 11566, Egypt

Received 20 September 2015; Revised 1 January 2016; Accepted 5 January 2016

Academic Editor: Chao-Qiang Geng

Copyright © 2016 Gamal G. L. Nashed. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

Two different nondiagonal tetrad spaces reproducing spherically symmetric spacetime are applied to the field equations of higher-order torsion scalar theories. Assuming the existence of conformal Killing vector, two isotropic solutions are derived. We show that the first solution is not stable while the second one confirms a stable behavior. We also discuss the construction of the stellar model and show that one of our solutions is capable of such construction while the other is not. Finally, we discuss the generalized Tolman-Oppenheimer-Volkoff and show that one of our models has a tendency to equilibrium.