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arXiv 2008.08613gr-qc
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用Einstein-Maxwell标量理论检验粒子绕黑洞的运动

Test particle motion around black hole in Einstein-Maxwell-scalar theory

Bobur Turimov, Javlon Rayimbayev, Ahmadjon Abdujabbarov, Bobomurat Ahmedov, Zdeněk Stuchlík

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14 pages, 8 figures, Published in Physical Review D
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摘要：

本文利用Einstein-Maxwell-scalar（EMS）理论中三种不同的黑洞解，研究了测试粒子围绕黑洞的运动.我们首先分析了这些解的时空曲率结构，并证明了两个奇点的存在性，第一个奇点位于中心$r=0$。在黑洞时空中，宇宙学参数$λ_0$的临界值将黑洞划分为两个区域。我们还研究了EMS理论中黑洞周围的光子球，发现它不依赖于宇宙学参数$λ$。本文分析了黑洞的最内层稳定圆轨道（ISCO），发现对于所有解，中性粒子的ISCO半径都随黑洞电荷的增加而减小。我们还研究了在引力场和库仑势存在下带电粒子在黑洞周围的运动。结果表明，带电粒子的ISCO半径随耦合参数的选取而增大，这与天体物理黑洞吸积盘内缘的观测结果相矛盾，并可作为排除EMS理论的有力工具，而不考虑引力场理论.本文还研究了EMS理论中测试粒子绕黑洞运行时的基频。最后，作为对EMS理论中黑洞解的检验，将ISCO半径与Kerr黑洞中的半径进行了比较，发现Kerr的自旋参数可以模拟到$a/M\simeq 0.936$。

英文摘要：

In this paper, we explore the test particle motion around a black hole in Einstein-Maxwell-scalar (EMS) theory using three different black hole solutions within this theory. We have first analyzed the spacetime curvature structure of these solutions and shown the existence of two singularities and the first one is at the center $r=0$. In black hole spacetime, there are two regions divided by the critical value of the cosmological parameter $λ_0$. The photon sphere around the black hole in EMS theory has also been studied and found that it does not depend on cosmological parameter $λ$. We have analyzed the innermost stable circular orbits (ISCO) around the black hole and shown that for all solutions ISCO radius for neutral particle decreases with the increase of black hole charge. We have also studied the charged particle motion around the black hole where charged particle motion is considered in the presence of the gravitational field and the Coulomb potential. It is shown that ISCO radius for charged particles increases depending on the selected value of the coupling parameter which is in contradiction with observations of the inner edge of the accretion disks of the astrophysical black holes and can be used as a powerful tool to rule out the EMS theory from consideration for the gravitational field theory. It is also studied the fundamental frequencies governed by test particle orbiting around the black hole in EMS theory. Finally, as a test of black hole solution in EMS theory ISCO radii is compared with that in Kerr black hole and found that the spin parameter of Kerr can be mimic up to $a/M\simeq 0.936$.

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