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Spherically symmetric static wormhole models in the Einsteinian cubic gravity
International Journal of Geometric Methods in Modern Physics ( IF 1.8 ) Pub Date : 2020-10-01 , DOI: 10.1142/s021988782050214x
G. Mustafa 1 , Tie-Cheng Xia 1 , Ibrar Hussain 2 , M. Farasat Shamir 3
Affiliation  

Our aim is to discuss spherically symmetric static wormholes with the Lorentzian signature in the Einsteinian cubic gravity for two different models of pressure sources. First, we calculate the modified fields equations for the Einsteinian cubic gravity for the wormhole geometry under the anisotropic matter. Then we investigate the shape-function for two different models, which can be taken as a part of the general relation, namely, [Formula: see text]. We further study the energy conditions for both the models in the background of the Einsteinian cubic gravity. We show that our obtained shape-functions satisfy all the necessary conditions for the existence of wormhole solutions in the Einsteinian cubic gravity for some particular values of the different involved parameters. We also discuss the behavior of the energy conditions especially the null and the weak energy conditions for the wormhole models in the Einsteinian cubic gravity.

中文翻译:

爱因斯坦立方重力中的球对称静态虫洞模型

我们的目的是讨论两种不同压力源模型的爱因斯坦立方重力中具有洛伦兹特征的球对称静态虫洞。首先,我们计算了各向异性物质下虫洞几何的爱因斯坦立方重力的修正场方程。然后我们研究了两种不同模型的形状函数,它可以作为一般关系的一部分,即[公式:见正文]。我们进一步研究了爱因斯坦立方重力背景下两种模型的能量条件。我们表明,对于不同涉及的参数的某些特定值,我们获得的形状函数满足爱因斯坦立方重力中虫洞解存在的所有必要条件。
更新日期:2020-10-01
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