AI 中文总结
本文研究带拓扑荷的Morris-Thorne型可穿越虫洞，求解含各向异性流体的爱因斯坦场方程，考察多种形状函数下的四类能量条件及各向异性参数，发现部分能量条件被违反但能量密度恒正。
AI 中文摘要
本文通过求解以各向异性流体为能量动量张量的爱因斯坦场方程并分析所得解，研究带拓扑荷的Morris-Thorne型可穿越虫洞。作为前期工作（Eur. Phys. J C {\bf 84} (2024) 1037）的延续，我们考虑以下形状函数：(i) $A(r)=r_0\\,e^{r_0-r}$；(ii) $A(r)=r_0\\,a^r/a^{r_0}$，$0 < a<1$；(iii) $A(r)=r_0\\,\left(\frac{\cosh r_0}{\cosh r}\right)^{\delta}$，$\delta \geq 1$；(iv) $A(r)=\frac{1}{r}+\ln\\!\frac{r}{r_0}$；(v) $A(r)=B\\,r^n+(1-B)$；(vi) $A(r)=r_0\\,\frac{\mbox{ln} (1+r)}{\mbox{ln} (1+r_0)}$；(vii) $A(r)=r_0+a\\,r_0\\,\left[\left(\frac{r}{r_0}\right)^\beta-1\right]$，其中$\beta<1$且$0 < a\\,\beta <1$。我们考察零能量条件、弱能量条件、强能量条件与主能量条件，探究拓扑荷如何影响或控制这些条件，还计算各向异性参数以确定虫洞几何表现为吸引还是排斥行为。分析表明，各向异性流体的能量密度始终为正，但部分能量条件仅部分满足，其余则被违反。
英文摘要
In this paper, we investigate topologically charged Morris-Thorne-type traversable wormholes by solving the Einstein field equations with an anisotropic fluid as the energy-momentum tensor and analysing the resulting solutions. In continuation to the earlier work (Eur. Phys. J C {\bf 84} (2024) 1037), we consider the shape functions such as: (i) $A(r)=r_0\,e^{r_0-r}$; (ii) $A(r)=r_0\,a^r/a^{r_0}$,\quad $0 < a<1$; (iii) $A(r)=r_0\,\left(\frac{\cosh r_0}{\cosh r}\right)^δ$,\quad $δ\geq 1$; (iv) $A(r)=\frac{1}{r}+\ln\!\frac{r}{r_0}$; (v) $A(r)=B\,r^n+(1-B)$; (vi) $A(r)=r_0\,\frac{\mbox{ln} (1+r)}{\mbox{ln} (1+r_0)}$, (vii) $A(r)=r_0+a\,r_0\,\left[\left(\frac{r}{r_0}\right)^β-1\right]$, where $β<1$ and $0 < a\,β<1$. We examine the energy conditions-namely, null, weak, strong, and dominant energy conditions and explore how topological charge influences or controls these conditions. Additionally, we calculate the anisotropy parameter to determine whether the wormhole geometry exhibits attractive or repulsive behavior. Our analysis demonstrates that the energy density of the anisotropic fluid is always positive. However, while some of the energy conditions are partially satisfied, others are violated.
CommentsImproved results and discussion only
