论文标题

自旋诱导的标量和磁场

Spin-induced scalarization and magnetic fields

论文作者

Annulli, Lorenzo, Herdeiro, Carlos A. R., Radu, Eugen

论文摘要

在标量场和高斯 - 骨网曲面之间存在某些非最小耦合的情况下,只要它们足够快地旋转即可,Kerr黑洞就会标出。这提供了对Kerr假设的独特侵犯,仅在某些高旋转范围内发生。在本文中,我们评估了在天体物理黑洞附近可能存在的强磁场是否可以通过降低标量的自旋阈值来促进这种独特的效果。这种询问是由于自我磨碎的磁场本身也可以促进“自旋诱导”标量的事实。尽管如此,我们表明,在\ textit {地平线附近}磁场$ b $对质量$ m $的黑洞的影响,最高$ bm \ lyssim 1 $,works \ textit {textit {fiff} spinit诱导的标量,需要从黑洞中获得更大的尺寸无尺寸$ j $。就旋转$与$磁场对地平线几何形状的影响而言,建议对此结果进行几何解释。

In the presence of certain non-minimal couplings between a scalar field and the Gauss-Bonnet curvature invariant, Kerr black holes can scalarize, as long as they are spinning fast enough. This provides a distinctive violation of the Kerr hypothesis, occurring only for some high spin range. In this paper we assess if strong magnetic fields, that may exist in the vicinity of astrophysical black holes, could facilitate this distinctive effect, by bringing down the spin threshold for scalarization. This inquiry is motivated by the fact that self-gravitating magnetic fields, by themselves, can also promote "spin-induced" scalarization. Nonetheless, we show that in the \textit{vicinity of the horizon} the effect of the magnetic field $B$ on a black hole of mass $M$, up to $BM\lesssim 1$, works \textit{against} spin-induced scalarization, requiring a larger dimensionless spin $j$ from the black hole. A geometric interpretation for this result is suggested, in terms of the effects of rotation $vs.$ magnetic fields on the horizon geometry.

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