论文标题
非交通启发的虫洞承认保形运动涉及最小耦合
Noncommutative inspired wormholes admitting conformal motion involving minimal coupling
论文作者
论文摘要
在此手稿中,我们通过涉及非交通性几何形状的某些方面来探索在修饰的重力中表现出球形对称性的虫洞溶液的存在。为此,我们考虑各向异性物质内容以及众所周知的弦理论分布。为了简单起见,我们采用$ f(r,t)= r+λt$给出的$ f(r,t)$函数的特定形式。对于这两种非共同分布,我们都可以从指数和超几何函数方面获得精确的解决方案。通过采取一些合适的自由参数选择,我们以图形方式研究了这些虫洞解决方案的不同有趣方面。我们还使用平衡条件探索了这些虫洞模型的稳定性。可以得出结论,所获得的解决方案是稳定的,并且在物理上可以满足虫洞存在标准。最后,我们讨论了这两种分布的主动重力质量阳性的限制。
In this manuscript, we explore the existence of wormhole solutions exhibiting spherical symmetry in a modified gravity namely $f(R,T)$ theory by involving some aspects of non-commutative geometry. For this purpose, we consider the anisotropic matter contents along with the well-known Gaussian and Lorentizian distributions of string theory. For the sake of simplicity in analytic discussions, we take a specific form of $f(R,T)$ function given by $f(R,T)=R+λT$. For both these non-commutative distributions, we get exact solutions in terms of exponential and hypergeometric functions. By taking some suitable choice of free parameters, we investigate different interesting aspects of these wormhole solutions graphically. We also explored the stability of these wormhole models using equilibrium condition. It can be concluded that the obtained solutions are stable and physically viable satisfying the wormhole existence criteria. Lastly, we discuss the constraints for positivity of the active gravitational mass for both these distributions.