论文标题
静态拓扑黑洞，具有非微生导数耦合和非线性电磁场
Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
论文作者
论文摘要
我们认为标量调节重力具有非最小程度的衍生耦合和出生的电磁电磁场，该电磁场与重力最小耦合。由于考虑到宇宙常数，因此我们不仅使我们不仅可以得出具有球形视野的静态黑洞，而且还可以获得具有非球形视野的拓扑解决方案。对所获得的指标进行了彻底的分析，即针对地平线拓扑的不同距离和类型。为了研究指标的奇异性Kretschmann标量，并表明奇异性的特征取决于地平线拓扑的类型和空间的维度。我们还研究了黑洞的热力学，即我们获得并检查黑洞的温度。为了得出黑洞的热力学方法的第一定律。尽管如此，这种方法已经建立得很好，对黑洞熵的定义存在歧义，这可以通过某种独立的方法来解决。
We consider scalar-tensor gravity with nonminimal derivative coupling and Born-Infeld electromagnetic field which is minimally coupled to gravity. Since cosmological constant is taken into account it allowed us not only derive static black hole with spherical horizon but also to obtain topological solutions with non-spherical horizons. The obtained metrics are thoroughly analyzed, namely for different distances and types of topology of horizon. To investigate singularities of the metrics Kretschmann scalar is used and it is shown that the character of singularity depends on the type of topology of horizon and dimension of space. We also investigate black hole's thermodynamics, namely we obtain and examine black hole's temperature. To derive the first law of black hole's thermodynamics Wald's approach is applied. Nonetheless this approach is well established, there is ambiguity in definition of black hole's entropy which can be resolved just by virtue of some independent approach.
