标题： 扭曲的孤子形变和五维真空引力中黑洞的传播 显示英文标题

标题： Warped Solitonic Deformations and Propagation of Black Holes in 5D Vacuum Gravity

摘要： 在本文中，我们使用非协调框架方法来构建具有非对角分量度规的真空5D引力的精确解。 这些解通常具有各向异性，并具有有趣的特性，例如相对于额外维度的各向异性扭曲因子，或者与解相关的一些物理参数的引力尺度/运行。 发现某一类解可以描述“孤子式”在时空中传播的施瓦茨希尔德黑洞。 这些黑洞解的孤子特性来自于将3D孤子配置（例如Kadomtsev-Petviashvily或正弦-戈登方程的孤子解）嵌入到5D度规的某些假设函数中。 这些孤子解可能违反或保持局部洛伦兹不变性。 此外，这些解与非对易场论存在联系。 显示英文摘要

摘要： In this paper we use the anholonomic frames method to construct exact solutions for vacuum 5D gravity with metrics having off-diagonal components. The solutions are in general anisotropic and possess interesting features such as an anisotropic warp factor with respect to the extra dimension, or a gravitational scaling/running of some of the physical parameters associated with the solutions. A certain class of solutions are found to describe Schwarzschild black holes which ``solitonically'' propagate in spacetime. The solitonic character of these black hole solutions arises from the embedding of a 3D soliton configuration (e.g. the soliton solutions to the Kadomtsev-Petviashvily or sine-Gordon equations) into certain ansatz functions of the 5D metric. These solitonic solutions may either violate or preserve local Lorentz invariance. In addition there is a connection between these solutions and noncommutative field theory.