标题： 大规范系综中接近极端状态的标量场黑洞 显示英文标题

标题： Dilaton black holes in grand canonical ensemble near the extreme state

摘要： 考虑了极端状态附近的纯电荷的标量场黑洞，它是在巨正则系综中研究的。证明了存在这样的边界数据的子集，使得霍金温度平滑地趋于零到视界半径的无穷大值，而视界面积和熵是有限的并且不为零。在弦理论中，极限状态下视界的存在仅仅是因为系统的有限性。 显示英文摘要

摘要： Dilaton black holes with a pure electric charge are considered in a framework of a grand canonical ensemble near the extreme state. It is shown that there exists such a subset of boundary data that the Hawking temperature smoothly goes to zero to an infinite value of a horizon radius but the horizon area and entropy are finite and differ from zero. In string theory the existence of a horizon in the extreme limit is due to the finiteness of a system only.