Generalizing weak gravity conjecture
Generalizing weak gravity conjecture
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DOI：
10.1103/physrevd.102.046016
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发表时间：
2020-08
影响因子：
5
通讯作者：
R. Solomon;D. Stojkovic
中科院分区：
文献类型：
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作者：
R. Solomon;D. Stojkovic
弱引力猜想暗示了荷质比为$q/m \geq 1$的粒子的必要存在，这样极端带电黑洞就可以完全蒸发而不会留下危险的稳定的极端残留物，同时也不会揭示出沿着的裸奇点。换句话说，这种不等式确保了电荷的发射速度比黑洞的质量快，这反过来又与这样的事实相一致，即引力相互作用比电磁相互作用弱。为了将这一论点扩展到非极值黑洞，我们解决了一个带电壳的质量和电荷（$m，q$）从一个黑洞（$M，Q $）。我们发现了一个更一般的条件q/m \geq Q/M，它在极值极限下明显地还原为弱引力猜想，但它放宽了非极值黑洞完全蒸发的条件.这个条件也允许我们将理论的粒子含量与黑洞态的谱直接联系起来。
The weak gravity conjecture implies the necessary existence of particles with charge-to-mass ratio $q/m \geq 1$ so that the extremal charged black hole can completely evaporate without leaving a dangerous stable extremal remnant while simultaneously not revealing a naked singularity along the way. In other words, this inequality ensures that the charge is emitted faster than the mass of a black hole, which is in turn coincidentally consistent with the fact that gravitational interaction for such parties is weaker than electromagnetic. To extend this argument to non-extremal black holes, we solve the problem of a charged shell of mass and charge ($m,q$) from a black hole with ($M,Q$). We find a more general condition $q/m \geq Q/M$, which obviously reduces to the weak gravity conjecture in the extremal limit, however it relaxes the condition for complete evaporation of non-extremal black holes. This condition also allows us to directly relate the particle content of the theory with the spectrum of black hole states.