论文标题
3D Kerr-Schild Double Copy中的广义黑洞
Generalized Black Holes in 3D Kerr-Schild Double Copy
论文作者
论文摘要
库仑溶液在三个维度上的双副本是一种非vacuum溶液，可以通过不同的物质耦合获得。它是爱因斯坦 - 马克斯韦尔理论的静态黑洞解决方案或最小耦合到自由标量场（在两种情况下，动作中有一个幽灵符号）的一般相对论。我们通过特别注意重力侧静态黑解决方案的规律性和量规理论中相应的单复制电场的规律性来考虑这些物质耦合的概括。我们表明，I）爱因斯坦出生的智能理论产生了一个奇异的双拷贝，该副本以常规的单拷贝电场为稳定的轨道，用于某些参数选择。 ii）用ARXIV构建的黑洞解决方案：2104.10172通过耦合到标量场中，大多用常规的单复制电场示例是常规的双拷贝，还可以允许稳定的轨道。此外，我们使用这些解决方案来研究重力侧的地平线与量规理论侧的电场之间的联系，这是以前在四个维度上观察到的。
The double copy of the Coulomb solution in three dimensions is a non-vacuum solution that can be obtained through different matter couplings. It is the static black hole solution of Einstein-Maxwell theory or general relativity minimally coupled to a free scalar field (with one ghost sign in the action in both cases). We consider generalizations of these matter couplings by paying particular attention to the regularity of the static black solution on the gravity side and the corresponding single copy electric field in the gauge theory. We show that i) Einstein-Born-Infeld theory yields a singular double copy, which admits stable orbits for certain choices of parameters, with a regular single copy electric field. ii) Black hole solutions constructed in arXiv:2104.10172 by coupling to the scalar field exemplify mostly regular double copies with regular single copy electric fields and also admit stable orbits. Additionally, we use these solutions to investigate the connection between horizons on the gravity side and electric fields on the gauge theory side, which was previously observed in four dimensions.
