Warped solitonic deformations and propagation of black holes in 5D vacuum gravity
Warped solitonic deformations and propagation of black holes in 5D vacuum gravity
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DOI：
10.1088/0264-9381/19/14/302
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发表时间：
2001-12
影响因子：
3.5
通讯作者：
S. Vacaru;D. Singleton
中科院分区：
文献类型：
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作者：
S. Vacaru;D. Singleton
本文利用非完整标架方法构造了具有非对角分量度规的真空五维引力场的精确解。一般来说，解是各向异性的，并且具有有趣的特征，例如关于额外维度的各向异性翘曲因子，或者与解相关的一些物理参数的重力缩放/运行。一类特定的解决方案被发现来描述史瓦西黑洞的“solitonically”传播的时空。这些黑洞的解决方案的孤子字符产生的正弦戈登孤子配置嵌入到某些anonymous功能的5D度规。这些孤子解可能违反或保持局部洛伦兹不变性。此外，这些解和非对易场论之间也有联系。除了这里提出的解决方案的可能的物理应用，本文旨在说明强度的非完整框架方法在处理各向异性的引力场方程的解决方案。
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 is found to describe Schwarzschild black holes which 'solitonically' propagate in spacetime. The solitonic character of these black-hole solutions arises from the embedding of the sine-Gordon soliton configuration 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 non-commutative field theory. In addition to the possible physical applications of the solutions presented here, this paper is meant to illustrate the strength of the anholonomic frames method in handling anisotropic solutions of the gravitational field equations.