Solutions in the scalar-tensor theory with nonminimal derivative coupling
Solutions in the scalar-tensor theory with nonminimal derivative coupling
复制标题
DOI：
10.1103/physrevd.89.064017
复制
发表时间：
2013-12
影响因子：
5
通讯作者：
Masato Minamitsuji
中科院分区：
文献类型：
--
作者：
Masato Minamitsuji
我们给出了非最小导数耦合到爱因斯坦张量的标量张量理论中的黑洞类型的解。非最小导数耦合的影响出现在大尺度上，而解在小尺度上接近于爱因斯坦引力下的解。对于特定的耦合常数，调谐到宇宙常数的倒数，标量场变得平凡，爱因斯坦引力中的解被恢复。对于另一个耦合常数，可以得到更一般的解。如果二维最大对称空间是两个球，则时空结构在大尺度上接近反de Sitter时空。另一方面，如果二维空间是二维双曲面，则时空接近德西特(ADS)时空。如果它是一个平坦的空间，宇宙常数只影响标量场的幅度。扩展到更高维的情况也很简单。在一定的负宇宙常数范围内，黑洞的热力学性质与爱因斯坦引力下的Schwarzschild-ads黑洞非常相似。
We present black hole type solutions in the scalar-tensor theory with nonminimal derivative coupling to the Einstein tensor. The effects of the nonminimal derivative coupling appear in the large scales, while the solutions approach those in the Einstein gravity in the small scales. For the particular coupling constant tuned to the inverse of the cosmological constant, the scalar field becomes trivial and the solutions in the Einstein gravity are recovered. For the other coupling constant, more general solutions can be obtained. If the two-dimensional maximally symmetric space is a two-sphere, the spacetime structure approaches anti-de Sitter spacetime in the large scales. On the other hand, if the two-dimensional space is a two-hyperboloid, the spacetime approaches de Sitter (AdS) spacetime. If it is a flat space, the cosmological constant affects only the amplitude of the scalar field. The extension to the higher-dimensional case is also straightforward. For a certain range of the negative cosmological constant, thermodynamic properties of a black hole are very similar to those of the Schwarzschild-AdS black hole in the Einstein gravity.