三维爱因斯坦-标量引力的黑洞解

Black hole solution of three-dimensional Einstein-scalar gravity

构造了一个简单的三维爱因斯坦-标量引力,并找到了它在标量场?=2^(1/2)αφ(α为常数)这种情况下的黑洞解.分析发现此黑洞与Reissner-Nordstrom黑洞存在相似之处,但当标量场?满足α>(2e)^(1/2)时,此黑洞的质量M可以取负值.验证了此黑洞的温度和熵符合热力学定律,并且定义了有良好零温极限的黑洞热力学能.比较了此黑洞解度规与Reissner-Nordstrom度规,发现了α~2与1/l分别对应着Reissner-Nordstrom黑洞的质量与电荷.

Simple three-dimensional Einstein-scalar gravity is constructed in the present work,its black hole solution is found on condition of Ф=2√1/2αφ（αis a constant）.Further analysis reveals some similarities of this black hole to Reissner-Nordstrom black hole,but the mass of this black hole could be negative with α （2e^1/）.Further,the Hawking temperature and Bekenstein-Hawking entropy of this black hole satisfy the laws of thermodynamics,and defines the internal energy of this black hole with a well-defined zero temperature limit.A comparison of the metric of this black solution with Reissner-Nordstrom metric reveals that α~2 and 1/l correspond to the mass and charge of the Reissner-Nordstrom black hole respectively.