论文标题
Derrick定理逃避的标量字段和Lifshitz黑洞
Scalar fields and Lifshitz black holes from Derrick's theorem evasion
论文作者
论文摘要
我们研究了渐近的LIFSHITZ空间中的经典标量字段。通过逃避Derrick的定理，需要明确取决于背景坐标的标量潜力，我们诱发了差异不变性破坏并解决一阶形式主义，以在探针场限制中找到空间局部的解决方案。通过插入装有宇宙常数和麦克斯韦项与介电函数的反射，我们找到了一个Lifshitz黑洞溶液。
We study classical scalar fields in asymptotically Lifshitz spacetimes. By evading Derrick's theorem requiring the scalar potential to explicitly depend on the background coordinates, we induce a diffeomorphism invariance breaking and settle a first-order formalism to find spatially localized solutions in the probe field limit. By inserting a backreaction equipped with a cosmological constant and a Maxwell term coupled to a dielectric function in the model, we find a Lifshitz black hole solution.
