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arXiv 2302.05023gr-qc
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Einstein-Maxwell标量理论中Reissner-Nordström-Melvin黑洞的速子不稳定性

Tachyonic Instability of Reissner-Nordström-Melvin Black Holes in Einstein-Maxwell-Scalar Theory

Hengyu Xu, Shao-Jun Zhang

摘要:

在Einstein-Maxwell标量理论框架下,研究了处于均匀磁场中的Reissner-Nordström-Melvin(RNM)黑洞的标量场扰动.由于与麦克斯韦项的耦合,标量场获得了一个有效质量,在磁场存在的情况下,对于耦合常数$α$的任何符号,其平方将在视界之外的某处变为负值,从而触发快子不稳定性,并在$α$足够大时导致自发标量化。磁场对波形和不稳定性的起始有显著的影响,这对于不同符号的$α$是不同的。研究了黑洞电荷对不稳定性的影响。

英文摘要:

In the framework of Einstein-Maxwell-scalar theory, we studied scalar field perturbations of Reissner-Nordström-Melvin (RNM) black holes, which describes the RN black holes immersed in a uniform magnetic field. Due to the coupling to the Maxwell term, the scalar field acquires an effective mass whose square, in the presence of the magnetic field, will become negative somewhere outside the horizon for either sign of the coupling constant $α$, thus triggering the tachyonic instability and leading to spontaneous scalarization when $α$ is large enough. The magnetic field has significant influences on the waveforms and the onset of the instability, which differs for different sign of $α$. Effects of the black hole charge on the instability are also studied.

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