论文标题
在爱因斯坦重力的箍猜想上,耦合到非线性电动力学
On the Hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics
论文作者
论文摘要
索恩(Thorne)著名的箍猜想在弯曲的空间与线性电动力学结合在一起。 hod \ cite {hod:2018}最近通过阐明了适当解释引力质量参数$ m $的猜想的状态和有效性,从而驳斥了这一主张。然而,事实证明,对猜想的部分违规似乎也可能发生在众所周知的常规弯曲的重力空间与\ textIt {nonlinear extirotrodanic} s。使用对$ m $的解释,以适应非线性电动力耦合的通用形式,我们说明了一个新颖的扩展,即即使在如此弯曲的空间中,也违反了箍猜想\ textit {not}。我们引入了总结箍猜想的HOD函数,发现它令人惊讶地封装了基本上由相关弯曲的几何形状确定的临界值之间“地平线和无范围”之间的过渡方案。
The famous hoop conjecture by Thorne has been claimed to be\ violated in curved spacetimes coupled to linear electrodynamics. Hod \cite{Hod:2018} has recently refuted this claim by clarifying the status and validity of the conjecture appropriately interpreting the gravitational mass parameter $M$. However, it turns out that partial violations of the conjecture might seemingly occur also in the well known regular curved spacetimes of gravity coupled to \textit{nonlinear electrodynamic}s. Using the interpretation of $M$ in a generic form accommodating nonlinear electrodynamic coupling, we illustrate a novel extension that the hoop conjecture is \textit{not} violated even in such curved spacetimes. We introduce a Hod function summarizing the hoop conjecture and find that it surprisingly encapsulates the transition regimes between "horizon and no horizon" across the critical values determined essentially by the concerned curved geometries.