论文标题
通过dhost理论中的Kerr-Schild Construction的常规黑洞
Regular black holes via the Kerr-Schild construction in DHOST theories
论文作者
论文摘要
我们将标准的Kerr-Schild解决方案生成方法扩展到对标量场的偏移不变的高阶标量张量理论。发现某些退化条件对于缺乏Ostrogradski鬼魂至关重要，这对于Kerr-Schild Ansatz的有效性是必需的，而另一方面，没有平均对称性的理论被排除在解决方案生成方法之外。扩展的Kerr-Schild对称性事实证明是一种非常有用的工具，可以轻松地从简单的种子配置构造黑洞解决方案。特别是，开发的生成方法适用于构造通用黑洞，但也适用于简单级别标量张量（DHOST）理论中的常规黑洞溶液。作为一个特定示例，我们显示了如何明确构建Hayward指标作为对特定DHOST理论的解决方案。
We extend the standard Kerr-Schild solution generating method to higher order scalar tensor theories that are shift-invariant for the scalar field. Certain degeneracy conditions, crucial for the absence of Ostrogradski ghosts, are found to be required for the validity of the Kerr-Schild ansatz while on the other hand, theories with no parity symmetry are excluded from the solution generating method. The extended Kerr-Schild symmetry turns out to be a very useful tool to easily construct black hole solutions from simple seed configurations. In particular, the generating method developed is adapted to construct generic black holes but also regular black hole solutions within Degenerate Higher Order Scalar Tensor (DHOST) theories. As a particular example we show how to construct explicitly the Hayward metric as a solution to a specific DHOST theory.
