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arXiv 1504.01657gr-qc
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扩展的遥平行引力场中Lorentz分布的非对易虫洞解

Lorentz Distributed Noncommutative Wormhole Solutions in Extended Teleparallel Gravity

Abdul Jawad, Shamaila Rani

摘要:

本文研究了洛伦兹分布下包含非对易几何的扩展平行引力场中的静态球对称虫洞解。得到了非对角四分体的物质分量表达式。有效能量动量张量导致能量条件的破坏,这些能量条件对正常物质施加条件以满足这些条件。我们通过假设一个可行的幂律$f(T)$和形状函数模型来探索非对易虫洞解。对于第一种模型,我们讨论了两种情况,一种导致远程平行引力,另一种是$f(T)$引力。正常物质违反了第一种情况下的弱能量条件,但存在微观物理上可接受的虫洞解的可能性。幂律$b(r)$模型存在物理上可接受的虫洞解。此外,我们检查了这些解决方案的平衡条件,这是只满足远程并行的情况下,而$f(T)$的情况下,这些解决方案是不太稳定。

英文摘要:

In this paper, we study static spherically symmetric wormhole solutions in extended teleparallel gravity with the inclusion of noncommutative geometry under Lorentzian distribution. We obtain expressions of matter components for non-diagonal tetrad. The effective energy-momentum tensor leads to the violation of energy conditions which impose condition on the normal matter to satisfy these conditions. We explore the noncommutative wormhole solutions by assuming a viable power-law $f(T)$ and shape function models. For the first model, we discuss two cases in which one leads to teleparallel gravity and other is for $f(T)$ gravity. The normal matter violates the weak energy condition for first case while there exist a possibility for micro physically acceptable wormhole solution. There exist a physically acceptable wormhole solution for the power-law $b(r)$ model. Also, we check the equilibrium condition for these solutions which is only satisfied for teleparallel case while for $f(T)$ case, these solutions are less stable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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