发表机构
Universidade Federal do ABC; Universidade Estadual de Campinas（圣保罗联邦大学; 坎皮纳斯州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究旋转带电流体在极端准黑洞极限下的行为，证明Weyl型构型可形成准视界，并给出质量公式与Kerr-Newman Smarr关系，扩展了旋转尘埃分析。
AI 中文摘要
我们研究了刚性或差速旋转、有压或无压的稳态轴对称带电理想流体在极端准黑洞（QBH）极限下的行为。我们重点关注Weyl型构型，其红移因子与广义电磁势函数相关。在该极限下，红移因子在整个流体内部消失，边界变为准视界。我们要求物质和电磁场正则，并与外部平滑匹配。在适当的收敛假设下，电磁正则性和趋近于均匀旋转意味着在整个连通的流体内部广义电磁势为常数，这与Weyl假设无关。在额外的可积性条件下，质量公式简化为极端Kerr-Newman Smarr关系。对于刚性旋转，我们考察了满足线性Weyl关系的带电尘埃以及满足Kloster-Das或Guilfoyle关系的有压流体。线性Kloster-Das子类在极限下变为无压，而一般Guilfoyle情形允许非零压力。Islam假设在其耦合参数、极限势和极限电荷密度非零时会阻碍正则极限。对于差速旋转，我们分析了洛伦兹力项恒为零的构型以及一个线性Weyl子类，其正则性要求控制角速度梯度。我们的结果表明，旋转Weyl型系统允许极端QBH极限，与其静态对应物类似，扩展了对旋转尘埃分布的分析，并确定了更一般的旋转带电流体与该极限相容的条件。
英文摘要
We investigate the extremal quasiblack-hole (QBH) limit of stationary, axisymmetric charged perfect fluids in rigid or differential rotation, with and without pressure. We emphasize Weyl-type configurations, whose redshift factor is functionally related to the generalized electromagnetic potential. In this limit, the redshift factor vanishes throughout the fluid interior and the boundary becomes a quasihorizon. We require regular matter and electromagnetic fields and smooth matching to the exterior. Under suitable convergence assumptions, electromagnetic regularity and the approach to uniform rotation imply a constant generalized electromagnetic potential throughout the connected fluid interior, independently of the Weyl ansatz. With additional integrability conditions, the mass formula reduces to the extremal Kerr-Newman Smarr relation. For rigid rotation, we examine charged dust obeying a linear Weyl relation and fluids with pressure obeying the Kloster-Das or Guilfoyle relations. The linear Kloster-Das subclass becomes pressureless in the limit, whereas the general Guilfoyle case allows nonzero pressure. The Islam ansatz obstructs a regular limit when its coupling parameter, limiting potential, and limiting charge density are nonzero. For differential rotation, we analyze configurations with an identically vanishing Lorentz-force term and a linear Weyl subclass whose regularity requires control of angular-velocity gradients. Our results show that rotating Weyl-type systems admit extremal QBH limits much like their static counterparts, extending analyses of rotating dust distributions and identifying conditions for more general rotating charged fluids to be compatible with this limit.
