The Fate of a Five-Dimensional Rotating Black Hole via Hawking Radiation
The Fate of a Five-Dimensional Rotating Black Hole via Hawking Radiation
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DOI：
10.1143/ptp.114.707
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发表时间：
2005-02
影响因子：
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通讯作者：
Hidefumi Nomura;Shijun Yoshida;M. Tanabe;K. Maeda
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文献类型：
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作者：
Hidefumi Nomura;Shijun Yoshida;M. Tanabe;K. Maeda
我们研究的进化五维旋转黑洞发射标量场通过霍金辐射过程的任意初始值a和b两个旋转参数。发现任何这样的黑洞都非零初始旋转参数的演化对渐近状态/ M 1/2 = b / M 1/2 = c onst(= 0),这个常数是独立的初始值和b。黑洞蒸发的传统观点是,不管它的初始状态如何，霍金辐射将导致黑洞在失去所有质量之前很久就接近不带电、角动量为零的状态。因此，在一些著作中，假设黑洞在接近普朗克尺度时蒸发，需要量子引力来确定其演化，最终的渐近状态用史瓦西解来描述。然而，Chambers、Hiscock和Taylor(1)通过霍金过程详细研究了Kerr黑洞发射标量场辐射的演化过程，并表明黑洞的比角动量与质量之比（≈a/M）向稳定的非零值（≈a→0.555）演化。这意味着，如果存在标量场，旋转黑洞将向角动量非零的最终状态演化。在这封信中，我们将钱伯斯、希斯科克和泰勒的分析扩展到一个更高维度的案例，原因如下。具体考虑五维情况，我们研究了具有两个旋转参数的五维Myers-Perry （MP）黑洞2在标量中的演化
We study the evolution of a five-dimensional rotating black hole emitting scalar field radiation via the Hawking process for arbitrary initial values of the two rotation parameters a and b. It is found that any such black hole whose initial rotation parameters are both nonzero evolves toward an asymptotic state a/M 1/2 = b/M 1/2 =c onst( =0 ), where this constant is independent of the initial values of a and b. The conventional view of black hole evaporation is that, regardless of its initial state, Hawking radiation will cause a black hole to approach an uncharged, zero angular momentum state long before all its mass has been lost. For this reason, in some works, it is assumed that as a black hole evaporates close to the Planck scale, where quantum gravity is required to determine its evolution, the final asymptotic state is described by Schwarzschild solution. However, Chambers, Hiscock and Taylor 1) investigated, in some detail, the evolution of a Kerr black hole emitting scalar field radiation via the Hawking process, and showed that the ratio of the black hole’s specific angular momentum to its mass, ˜ = a/M , evolves toward a stable nonzero value (˜ a → 0.555). This means that a rotating black hole will evolve toward a final state with non-zero angular momentum if there is a scalar field. In this Letter, we extend the analysis of Chambers, Hiscock and Taylor to a higher-dimensional case for the reasons described below. Considering the five-dimensional case specifically, we investigate the evolution of a five-dimensional rotating Myers-Perry (MP) black hole 2) with two rotation parameters through scalar