Gravitational field of a slowly rotating black hole with a phantom global monopole
Gravitational field of a slowly rotating black hole with a phantom global monopole
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DOI：
10.1088/0264-9381/30/17/175012
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发表时间：
2013-01
影响因子：
3.5
通讯作者：
Songbai Chen;Jiliang Jing
中科院分区：
文献类型：
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作者：
Songbai Chen;Jiliang Jing
通过求解Einstein场方程，我们给出了一个带有幻影全局引力的慢旋转黑洞解，发现全局引力的存在改变了黑洞的结构。度规系数gt_1包含极坐标r的超几何函数，比通常的慢转黑洞中的要复杂。对称破缺的能量尺度η影响黑洞视界和亏损立体角。特别地，对于具有幻影全局角的黑洞，立体角是盈余的而不是亏损的。在薄吸积盘模型中，我们还研究了整体引力对视界角速度ΩH、开普勒第三定律、最内层稳定圆轨道和辐射效率的影响。我们的结果还表明，对于幻影黑洞，辐射效率只有在η <$ηc的情况下才是正的.阈值ηc随着旋转参数a而增大。
We present a slowly rotating black hole solution with a phantom global monopole by solving Einstein's field equation and find that the presence of the global monopole changes the black hole structure. The metric coefficient gtϕ contains the hypergeometric function of the polar coordinate r, which is more complex than that in the usual slowly rotating black hole. The energy scale of symmetry breaking η affects the black hole horizon and the deficit solid angle. In particular, the solid angle is surplus rather than deficit for the black hole with the phantom global monopole. We also study the effects of the global monopole on the angular velocity of the horizon ΩH, Kepler's third law, the innermost stable circular orbit and the radiative efficiency ϵ in the thin accretion disc model. Our results also show that for a phantom black hole, the radiative efficiency ϵ is positive only in the case η ⩽ ηc. The threshold value ηc increases with the rotation parameter a.