Publisher's Note: Six-dimensional localized black holes: Numerical solutions [Phys. Rev. D 69, 104019 (2004)]
Publisher's Note: Six-dimensional localized black holes: Numerical solutions [Phys. Rev. D 69, 104019 (2004)]
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出版商注：六维局域黑洞：数值解[Phys。
DOI：
10.1103/physrevd.70.029901
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发表时间：
2004
影响因子：
5
通讯作者：
H. Kudoh
中科院分区：
文献类型：
--
作者：
H. Kudoh
为了检验兰德尔-桑德拉姆膜世界中的强引力机制，我们考虑黑洞束缚在膜上。在以前的文章中，我们研究了视界半径小于AdS曲率半径的局域黑洞的数值解。本文改进了数值计算方法，讨论了视界半径大于AdS曲率半径的六维定域黑洞的性质。在视界温度T = 1/2 π l时，定域黑洞的热力学性质发生了转变，由6D Schwarzschild黑洞型转变为6D黑弦型.定域黑洞的比热为负，熵大于或接近等于具有相同热力学质量的6D黑弦的熵。大的定域黑洞表现出平坦的视界几何，视界四维几何的内禀曲率在膜附近变为负。我们的结果表明，即使在黑洞的存在下，低维爱因斯坦引力在膜上的恢复机制也有效。
To test the strong-gravity regime in Randall-Sundrum braneworlds, we consider black holes bound to a brane. In a previous paper, we studied numerical solutions of localized black holes whose horizon radii are smaller than the AdS curvature radius. In this paper, we improve the numerical method and discuss properties of the six-dimensional (6D) localized black holes whose horizon radii are larger than the AdS curvature radius. At a horizon temperature T≈ 1/2 π l, the thermodynamics of the localized black hole undergo a transition with its character changing from a 6D Schwarzschild black hole type to a 6D black string type. The specific heat of the localized black holes is negative, and the entropy is greater than or nearly equal to that of the 6D black strings with the same thermodynamic mass. The large localized black holes show flattened horizon geometries, and the intrinsic curvature of the horizon four-geometry becomes negative near the brane. Our results indicate that the recovery mechanism of lower-dimensional Einstein gravity on the brane works even in the presence of the black holes.