论文标题
任意维度中的超深黑洞阴影
Superentropic Black Hole Shadows in Arbitrary Dimensions
论文作者
论文摘要
我们在任意维度上研究了超恒星黑洞的阴影行为。使用Hamilton-Jacobi机制，我们首先获得相关的零地测量运动方程。在球形立体投影的帮助下，我们根据一维实际曲线讨论阴影。固定质量参数M，我们获得的某些形状与四维几何配置有很大不同。然后，我们通过改变黑洞质量参数来研究它们的行为。我们表明，阴影会根据时空维度经历某些几何过渡。就临界值MC而言，我们发现四个维度阴影表现出三种配置是D形，有氧和MC，M = MC和M <MC相关的赤裸裸的和裸的奇异性。我们揭示了D形通过称为心脏差的临界曲线传递到裸奇异性。但是，在较高的维度中，我们表明这种过渡行为被删除。
We investigate the shadow behaviors of the superentropic black holes in arbitrary dimensions. Using the Hamilton-Jacobi mechanism, we first obtain the associated null geodesic equations of motion. By help of a spheric stereographic projection, we discuss the shadows in terms of one-dimensional real curves. Fixing the mass parameter m, we obtain certain shapes being remarkably different than four dimensional geometric configurations. We then study theirs behaviors by varying the black hole mass parameter. We show that the shadows undergo certain geometric transitions depending on the spacetime dimension. In terms of a critical value mc, we find that the four dimensional shadows exhibit three configurations being the D-shape, the cardioid and the naked singularity associated with m > mc, m = mc and m < mc, respectively. We reveal that the D-shape passes to the naked singularity via a critical curve called cardioid. In higher dimensions, however, we show that such transitional behaviors are removed.
