引力弦膜刺猬与黑洞的内部结构
Gravitational string-membrane hedgehog and internal structure of black holes
摘要：
我们研究了3+1维爱因斯坦-麦克斯韦理论中的带电Nambu-Goto弦/膜系统。我们首先构造了一个具有单视界和圆锥奇点的带电弦刺猬解。然后，我们研究了一个荷电膜系统，并给出了它的自能的一个简单的推导。我们发现，膜可能形成极端的Reissner-Nordstrom黑洞，但它的内部是一个平坦的时空。最后，结合带电弦和膜，我们构造了视界内没有奇点的黑洞解。我们通过改变两个参数的大小来详细研究它们，即电荷乘以膜张力和弦张力。我们还认为，由于系统内部的大红移，弦有相当多的自由度，可以解释相应的黑洞的熵。
英文摘要：
We investigate charged Nambu-Goto strings/membrane systems in the Einstein-Maxwell theory in 3+1 dimensions. We first construct a charged string hedgehog solution that has a single horizon and conical singularity. Then we examine a charged membrane system, and give a simple derivation of its self energy. We find that the membrane may form an extremal Reissner-Nordstrom black hole, but its interior is a flat spacetime. Finally by combining the charged strings and the membrane we construct black hole solutions that have no singularities inside the horizons. We study them in detail by varying the magnitude of the two parameters, namely, the charge times the membrane tension and the string tension. We also argue that the strings have, due to the large redshift inside the system, a fair amount of degrees of freedom that may explain the entropy of the corresponding black holes.
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