一种精确的类Kerr旋转Morris--Thorne虫洞：喉部、能层与赤道阴影切片
An exact Kerr-like rotating Morris--Thorne wormhole: throat, ergoregion and equatorial shadow slice
- Khalifa University of Science and Technology（哈利法科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该论文构造了精确的类Kerr旋转Morris--Thorne虫洞，确定了喉部半径与能层，并推导了赤道阴影切片，为旋转虫洞物理提供了新见解。
AI中文摘要：
我们在Teo型稳态、轴对称假设下，构造了零红移Morris--Thorne虫洞的一种精确类Kerr旋转扩展。对于与零角动量观测者共动的各向异性源，爱因斯坦方程确定了$\mathcal{K}(r)=r^2+a^2$，并将参考系拖曳简化为径向求积。对于$b(r)=r_0^2/r$，该求积可用不完全椭圆积分计算，并用ADM角动量归一化。该时空渐近平坦且ADM质量为零，因此$a=J_{\rm ADM}/M_{\rm ADM}$不适用。扁率长度$a$与角动量$J_{\rm ADM}$保持独立，从而产生一个族$(r_0,a,J_{\rm ADM})$。选择$J_{\rm ADM}=ar_0$仅为数值能层和赤道俘获图示选取一个单参数切片；它并非场方程约束。我们发现$r_{\rm th}=\sqrt{r_0^2-a^2}$，具有现实性约束$|a|\leq r_0$和正则范围$0\leq |a|<r_0$。在典型稳态叶状结构中，喉部被准局部地定义为族$S_\ell$中具有零平均曲率和正面积二阶变分的唯一闭合曲面$S_0$。此外，$r=r_{\rm th}$和$\ell=0$是坐标表示。一个带符号的喉部适应坐标揭示了两个渐近平坦端，排除了闭合类时曲线，并确立了喉部是类时的，而非视界。这些结论独立于$J_{\rm ADM}=ar_0$成立。由爱因斯坦张量重建的支持应力张量是一种有效的唯象源。我们不声称任何微观物质拉格朗日量或现实状态方程。我们还确定了能层的起始。由于完整的Hamilton--Jacobi方程不可分离，我们仅限于推导一维赤道俘获区间的光学结果。
英文摘要：
We construct an exact Kerr-like rotating extension of the zero-redshift Morris--Thorne wormhole in a Teo-type stationary, axisymmetric ansatz. The Einstein equations for an anisotropic source comoving with zero angular momentum observers fix $\mathcal{K}(r)=r^2+a^2$ and reduce frame dragging to a radial quadrature. For $b(r)=r_0^2/r$, this is evaluated using incomplete elliptic integrals and normalised by the ADM angular momentum. The spacetime is asymptotically flat with zero ADM mass, so $a=J_{\rm ADM}/M_{\rm ADM}$ does not apply. The oblateness length $a$ and angular momentum $J_{\rm ADM}$ remain independent, yielding a family $(r_0,a,J_{\rm ADM})$. The choice $J_{\rm ADM}=ar_0$ selects only a one-parameter slice for numerical ergoregion and equatorial-capture illustrations; it is not a field-equation constraint. We find $r_{\rm th}=\sqrt{r_0^2-a^2}$, with reality bound $|a|\leq r_0$ and regular range $0\leq |a|<r_0$. In the canonical stationary foliation, the throat is defined quasi-locally as the unique closed surface $S_0$ in the family $S_\ell$ with zero mean curvature and positive area second variation. Moreover, $r=r_{\rm th}$ and $\ell=0$ are coordinate representations. A signed throat-adapted coordinate reveals two asymptotically flat ends, excludes closed timelike curves, and establishes that the throat is timelike, not a horizon. These conclusions hold independently of $J_{\rm ADM}=ar_0$. The supporting stress tensor, reconstructed from the Einstein tensor, is an effective phenomenological source. We do not claim any microscopic matter Lagrangian or realistic equation of state. We also determine the ergoregion onset. Since the full Hamilton--Jacobi equation is nonseparable, we limit ourselves to derive the optical result for a one-dimensional equatorial capture interval.
