爱因斯坦-麦克斯韦-带电标量场方程在3+1维中的带电裸奇点构造
A construction of charged naked singularities for the Einstein--Maxwell-charged scalar field equations in 3+1 dimensions
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中文总结 AI 辅助
该研究构造了3+1维球对称爱因斯坦-麦克斯韦-带电标量场方程的整体裸奇点解，源于特定特征初值，并发展出未被视界包围的曲率奇点，同时建立了构造裸奇点外部的通用框架。
中文摘要 AI 辅助
我们构造了一类$(3+1)$维球对称爱因斯坦-麦克斯韦-带电标量场方程的整体裸奇点解。这些解源于具有$0<\alpha\ll1$的$C^{1,\alpha}$渐近平坦单端特征初值，并发展出一个未被事件视界包围的曲率奇点。所得时空是真正带电的，其非零麦克斯韦场满足直到奇点的定量正下界，并具有显式渐近轮廓。作为构造的一部分，我们发展了一个通用框架来构造裸奇点外部区域，即从奇点发出的过去光锥的因果未来区域。该框架适用于广泛的奇异特征数据，特别允许麦克斯韦场在奇点附近出现奇异行为。
英文摘要
We construct a class of global naked singularity solutions for the $(3+1)$-dimensional spherically symmetric Einstein--Maxwell-charged scalar field equations. The solutions arise from $C^{1,α}$ asymptotically flat one-ended characteristic initial data with $0<α\ll1$ and develop a curvature singularity that is not enclosed by an event horizon. The resulting spacetimes are genuinely charged, with a nonzero Maxwell field that satisfies a quantitative positive lower bound up to the singularity and admits an explicit asymptotic profile. As part of the construction, we develop a general framework for constructing naked singularity exteriors, namely, the causal future region of the past light cone emanating from the singularity. The framework accommodates a broad range of singular characteristic data and, in particular, allows for singular behavior of the Maxwell field near the singularity.
发表机构
- Rutgers University（罗格斯大学）
机构由 AI 辅助整理，请以论文原文为准。
