论文标题
大型和超紧凑的高斯 - 骨网黑色孔，具有自相互作用的标量场
Large and Ultra-compact Gauss-Bonnet Black Holes with a Self-interacting Scalar Field
论文作者
论文摘要
我们考虑了爱因斯坦 - 斯卡尔 - 高斯 - 邦网理论，并研究了负宇宙常数被更现实的，负标量的潜力取代的情况。我们研究标量场和高斯 - 骨网期以及标量电势之间的不同形式的耦合函数。在所有情况下，我们都会获得具有非平凡标量场的渐近式黑洞溶液，自然会在大距离内消失。对于二次负电势，出现了两个不同的溶液亚组：第一个包括较大的地平线半径的浅黑色孔，第二个包括巨大的，超紧密的黑洞。具有相同质量的Schwarzschild溶液的地平线半径约为1/20的最超紧凑型溶液，出现了指数和线性耦合函数。对于标量电势的其他多项式形式，超紧凑溶液的亚组消失了，而所获得的黑洞可能比Schwarzschild溶液大或小，具体取决于其质量的特定值。
We consider the Einstein-scalar-Gauss-Bonnet theory, and study the case where a negative cosmological constant is replaced by a more realistic, negative scalar-field potential. We study different forms of the coupling function between the scalar field and the Gauss-Bonnet term as well as of the scalar potential. In all cases, we obtain asymptotically-flat, regular black-hole solutions with a non-trivial scalar field which naturally dies out at large distances. For a quadratic negative potential, two distinct subgroups of solutions emerge: the first comprises light black holes with a large horizon radius, and the second includes massive, ultra-compact black holes. The most ultra-compact solutions, having approximately the 1/20 of the horizon radius of the Schwarzschild solution with the same mass, emerge for the exponential and linear coupling functions. For other polynomial forms of the scalar potential, the subgroup of ultra-compact solutions disappears, and the black holes obtained may have a horizon radius larger or smaller than the Schwarzschild solution depending on the particular value of their mass.
