Repulsive black holes and higher-derivatives
Repulsive black holes and higher-derivatives
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DOI：
10.1007/jhep03(2022)013
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发表时间：
2021-10
影响因子：
5.4
通讯作者：
S. Cremonini;Callum R. T. Jones;James T. Liu;B. McPeak;Yuezhang Tang
中科院分区：
文献类型：
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作者：
S. Cremonini;Callum R. T. Jones;James T. Liu;B. McPeak;Yuezhang Tang
在引力与物质耦合的二阶导数理论中，带电黑洞在很远的距离上是自吸引的，在零温度下力消失。然而，在无质量标量场和四阶导数修正的存在下，零温度黑洞不再需要服从无力条件。在本文中，我们展示了如何计算这种黑洞之间的长程力。我们开发了一个有效的方法来计算高导数修正的标量电荷的理论时，有一个移位对称性，并计算在各种例子中的合力。我们发现，高导数校正黑洞可能是自吸引或自排斥，这取决于威尔逊系数和VEVs的标量模的值。事实上，我们发现黑洞的解决方案，这是超极端和自吸引。此外，我们提出的例子中，没有选择的高导数系数允许在电荷空间的各个方向上的自排斥黑洞状态。这表明，不像弱引力猜想，它可能只满足黑洞的光谱，斥力猜想需要额外的约束带电粒子的光谱。
In two-derivative theories of gravity coupled to matter, charged black holes are self-attractive at large distances, with the force vanishing at zero temperature. However, in the presence of massless scalar fields and four-derivative corrections, zero-temperature black holes no longer need to obey the no-force condition. In this paper, we show how to calculate the long-range force between such black holes. We develop an efficient method for computing the higher-derivative corrections to the scalar charges when the theory has a shift symmetry, and compute the resulting force in a variety of examples. We find that higher-derivative corrected black holes may be self-attractive or self-repulsive, depending on the value of the Wilson coefficients and the VEVs of scalar moduli. Indeed, we find black hole solutions which are both superextremal and self-attractive. Furthermore, we present examples where no choice of higher-derivative coefficients allows for self-repulsive black hole states in all directions in charge space. This suggests that, unlike the Weak Gravity Conjecture, which may be satisfied by the black hole spectrum alone, the Repulsive Force Conjecture requires additional constraints on the spectrum of charged particles.