爱因斯坦-麦克斯韦理论与低能杂化弦理论中的带电克尔-列维-奇维塔几何
Charged Kerr--Levi-Civita geometries in Einstein--Maxwell and low-energy heterotic string theory
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中文总结 AI 辅助
本文构造并比较爱因斯坦-麦克斯韦理论与低能杂化弦理论中带电克尔-列维-奇维塔几何的两种扩展，验证其局域性质，区分局域解生成与全局时空构造。
中文摘要 AI 辅助
我们构造并比较了带电克尔-列维-奇维塔几何的两种带电旋转扩展。在爱因斯坦-麦克斯韦理论中，我们对固定的磁性克尔-纽曼-恩斯特代表进行反演，验证了耦合恩斯特方程的协变性、拖曳与电势积分的可积性以及场方程；所得局域线元与独立获得的强场代表一致，但未假设方位商的全局等价性。在低能杂化弦理论中，我们先对真空克尔-列维-奇维塔进行反演，再应用哈桑-森映射，生成麦克斯韦、伸缩子与卡尔布-拉蒙德场。两个分支均具有规则局域基灵视界。对于爱因斯坦-麦克斯韦分支，精确分母因式分解证明，亚极端外区既无恩斯特零点也无方位闭合类时曲线；原克尔环具有有限曲率，尽管它位于方位类时轨道的内区，其克雷奇曼标量形式为$8\mathcal P_{\rm N}/\mathcal H^6$，在固定离轴纬度下趋近于与参数无关的列维-奇维塔定律。杂化分支在性质上不同：与视界相连的实分量终止于有限半径的$\Lambda=0$表面，精确弦帧切片因式分解与独立爱因斯坦帧计算表明，该表面是曲率奇点而非共形帧伪影。两类族均为典型的彼得罗夫I型。研究结果区分了精确局域解生成与完整全局时空的未解决构造及可能分布源的识别。
英文摘要
We construct and compare two charged rotating extensions of the Kerr--Levi-Civita geometry. In Einstein--Maxwell theory, a fixed magnetic Kerr--Newman Ernst representative is inverted, and covariance of the coupled Ernst equations, integrability of the dragging and electric-potential quadratures, and the field equations are verified. The resulting local line element agrees with a strong-field representative obtained independently, but no global equivalence of the azimuthal quotients is assumed. In low-energy heterotic string theory, the Hassan--Sen map is instead applied after the vacuum Kerr--Levi-Civita inversion, generating Maxwell, dilaton, and Kalb--Ramond fields. Both branches possess regular local Killing horizons. For the Einstein--Maxwell branch, an exact denominator factorization proves that the subextreme exterior contains neither Ernst zeros nor azimuthal closed timelike curves. The former Kerr ring has finite curvature, although it lies inside an interior region of timelike azimuthal orbits. Its Kretschmann scalar has the form $8\mathcal P_{\rm N}/\mathcal H^6$ and approaches a parameter-independent Levi-Civita law at fixed off-axis latitude. The heterotic branch is qualitatively different: the real component connected to the horizon terminates at a finite-radius $Λ=0$ surface. Exact string-frame slice factorizations and independent Einstein-frame calculations show that this surface is a curvature singularity rather than a conformal-frame artifact. Both families are generically Petrov type I. The results distinguish exact local solution generation from the unresolved construction of complete global spacetimes and the identification of possible distributional sources.
