黑洞蒸发过程与唐格里尼-赖斯纳-诺德斯特伦黑洞阴影

Balendra Pratap Singh
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摘要

本文研究了Tangherlini-Reissner-Nordstr\"om (TRN)黑洞的黑洞蒸发过程和阴影特性。TRN黑洞是Reissner-Nordstr\"om(RN)黑洞的高维扩展,其特征是质量$M$、电荷$q$和时空维数$D$。在高维时空中,黑洞蒸发会迅速发生,导致黑洞的视界缩小。我们推导了高维带电黑洞的质量损失率,并研究了高维时空对带电黑洞阴影的影响。我们推导了具有时空维数$D$影响的完整大地运动方程。我们通过最大化黑洞的有效势来确定撞击参数,并估算光子轨道的临界半径。黑洞周围的光子轨道随着时空维数的增加而缩小。为了将黑洞的阴影形象化,我们根据黑洞参数推导出了天体坐标。我们利用事件地平线望远镜对M87和Sgr A$^{*}$黑洞的观测结果,估算出电荷黑洞阴影在高维时空中的角直径。我们还估算了黑洞的能量发射率。我们的发现表明,黑洞阴影的角直径随着时空维数$D$的增加而减小。
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Black Hole Evaporation Process and Tangherlini-Reissner-Nordström Black Holes Shadow
In this article, we study the black hole evaporation process and shadow property of the Tangherlini-Reissner-Nordstr\"om (TRN) black holes. The TRN black holes are the higher-dimensional extension of the Reissner-Nordstr\"om (RN) black holes and are characterized by their mass $M$, charge $q$, and spacetime dimensions $D$. In higher-dimensional spacetime, the black hole evaporation occurs rapidly, causing the black hole's horizon to shrink. We derive the rate of mass loss for the higher-dimensional charged black hole and investigate the effect of higher-dimensional spacetime on charged black hole shadow. We derive the complete geodesic equations of motion with the effect of spacetime dimensions $D$. We determine impact parameters by maximizing the black hole's effective potential and estimate the critical radius of photon orbits. The photon orbits around the black hole shrink with the effect of the increasing number of spacetime dimensions. To visualize the shadows of the black hole, we derive the celestial coordinates in terms of the black hole parameters. We use the observed results of M87 and Sgr A$^{*}$ black hole from the Event Horizon Telescope and estimate the angular diameter of the charge black hole shadow in the higher-dimensional spacetime. We also estimate the energy emission rate of the black hole. Our finding shows that the angular diameter of the black hole shadow decreases with the increasing number of spacetime dimensions $D$.
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