论文标题
慢慢旋转的黑孔在准引力重力中
Slowly rotating black holes in Quasi-topological gravity
论文作者
论文摘要
虽然立方准问题引力是独一无二的，但在五个维度上有一个四分之一的准准居住重力系列。这些理论是通过导致球形对称空间的一阶方程来定义的，类似于较高维度中Lovelock理论方程的结构，并且在广告周围也没有幽灵。 Here we construct slowly rotating black holes in these theories, and show that the equations for the off-diagonal components of the metric in the cubic theory are automatically of second order, while imposing this as a restriction on the quartic theories allows to partially remove the degeneracy of these theories, leading to a three-parameter family of Lagrangians of order four in the Riemann tensor.这表明与球形对称性观察到的与洛夫洛克理论的平行相似，延伸到缓慢旋转溶液的领域。在四分之一的情况下，从一致的，减少的动作原理中获得了缓慢旋转黑洞的方程。这些函数在四倍方面承认了一个简单的整合。最后，为了超越缓慢的旋转状态，我们探讨了基尔柴尔德·安萨兹（Kerr-Schild Ansatz）在立方准理学重力中的一致性。要求时空使GR中的旋转黑洞渐近匹配，对于相等的填充参数，ADS真空的Kerr-Schild变形不会导致耦合的通用值的解决方案。该结果表明，为了在准问题引力中具有有限旋转的溶液，必须超越Kerr-Schild Ansatz。
While cubic Quasi-topological gravity is unique, there is a family of quartic Quasi-topological gravities in five dimensions. These theories are defined by leading to a first order equation on spherically symmetric spacetimes, resembling the structure of the equations of Lovelock theories in higher-dimensions, and are also ghost free around AdS. Here we construct slowly rotating black holes in these theories, and show that the equations for the off-diagonal components of the metric in the cubic theory are automatically of second order, while imposing this as a restriction on the quartic theories allows to partially remove the degeneracy of these theories, leading to a three-parameter family of Lagrangians of order four in the Riemann tensor. This shows that the parallel with Lovelock theory observed on spherical symmetry, extends to the realm of slowly rotating solutions. In the quartic case, the equations for the slowly rotating black hole are obtained from a consistent, reduced action principle. These functions admit a simple integration in terms of quadratures. Finally, in order to go beyond the slowly rotating regime, we explore the consistency of the Kerr-Schild ansatz in cubic Quasi-topological gravity. Requiring the spacetime to asymptotically match with the rotating black hole in GR, for equal oblateness parameters, the Kerr-Schild deformation of an AdS vacuum, does not lead to a solution for generic values of the coupling. This result suggests that in order to have solutions with finite rotation in Quasi-topological gravity, one must go beyond the Kerr-Schild ansatz.
