论文标题
自我完成和GUP修饰的充电和旋转黑洞
Self-complete and GUP-Modified Charged and Spinning Black Holes
论文作者
论文摘要
我们探讨了我们以前的提议的某些含义，部分是由普遍的不确定性原理（GUP）和黑洞具有量子机械性头发的可能性，即系统的ADM质量具有$ M + m +βm_\ mathrm {pl}^2/（2m）$ M $，其中$ m $是$ m_ math $ is $ as $ as $ as $ as a $ a} $ rmm and as pl}这也表明了黑洞和基本颗粒之间的某些联系，并支持重力是自我完成的建议。我们将模型扩展到带电和旋转的黑洞，因为这显然与基本颗粒有关。标准的Reissner-Nordström和Kerr解决方案包括零温度状态，代表最小的黑洞，并且已经展示了GUP修饰的Schwarzschild溶液的特征。但是，如果充电和旋转解决方案本身进行了修改，则会出现有趣的新功能。特别是，从GUP解决方案（跨越超级Planckian和Sub-Planckian engimes）到分离超级Planckian和Sub-Planckian解决方案的$β$的某种值低于$β$。同等地，对于$β$的给定值，电荷和自旋的临界值高于该溶液将其分叉成子planckian和Super-Planckian相位，并以质量间隙隔开，没有黑洞可以形成黑洞。
We explore some implications of our previous proposal, motivated in part by the Generalised Uncertainty Principle (GUP) and the possibility that black holes have quantum mechanical hair that the ADM mass of a system has the form $M + βM_\mathrm{Pl}^2/(2M)$, where $M$ is the bare mass, $M_\mathrm{Pl}$ is the Planck mass and $β$ is a positive constant. This also suggests some connection between black holes and elementary particles and supports the suggestion that gravity is self-complete. We extend our model to charged and rotating black holes, since this is clearly relevant to elementary particles. The standard Reissner-Nordström and Kerr solutions include zero-temperature states, representing the smallest possible black holes, and already exhibit features of the GUP-modified Schwarzschild solution. However, interesting new features arise if the charged and rotating solutions are themselves GUP-modified. In particular, there is an interesting transition below some value of $β$ from the GUP solutions (spanning both super-Planckian and sub-Planckian regimes) to separated super-Planckian and sub-Planckian solutions. Equivalently, for a given value of $β$, there is a critical value of the charge and spin above which the solutions bifurcate into sub-Planckian and super-Planckian phases, separated by a mass gap in which no black holes can form.
