用高阶导数修正去奇异化极值GMGHS黑洞
De-singularizing the extremal GMGHS black hole via higher derivatives corrections
摘要：
Gibbons-Maeda-Garfinkle-Horowitz-Strominger（GMGHS）黑洞是低能杂合弦论的一个有影响的解。众所周知，它给出了一个奇异极值极限。通过求解完全非线性的运动方程，构造了一个作用量为$\mathcal{O}(α')$修正的GMGHS极值黑洞的正则扩张。去奇异化由$\mathcal{O}(α')$项支持。正则极值GMGHS BH是渐近平坦的，具有球形拓扑的正则（非零尺寸）视界，具有$AdS_2\times S^2$近视界几何，并且它们的熵与电荷成比例。近地平线的解决方案得到解析和一些说明性的体解构造数值。
英文摘要：
The Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) black hole is an influential solution of the low energy heterotic string theory. As it is well known, it presents a singular extremal limit. We construct a regular extension of the GMGHS extremal black hole in a model with $\mathcal{O}(α')$ corrections in the action, by solving the fully non-linear equations of motion. The de-singularization is supported by the $\mathcal{O}(α')$-terms. The regularised extremal GMGHS BHs are asymptotically flat, possess a regular (non-zero size) horizon of spherical topology, with an $AdS_2\times S^2$ near horizon geometry, and their entropy is proportional to the electric charge. The near horizon solution is obtained analytically and some illustrative bulk solutions are constructed numerically.
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