Finsler black holes induced by noncommutative anholonomic distributions in Einstein gravity
Finsler black holes induced by noncommutative anholonomic distributions in Einstein gravity
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DOI：
10.1088/0264-9381/27/10/105003
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发表时间：
2009-07
影响因子：
3.5
通讯作者：
S. Vacaru
中科院分区：
文献类型：
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作者：
S. Vacaru
我们研究了爱因斯坦引力诱导的Finsler黑洞作为量子时空非对易性的可能效应。这样的芬斯勒模型是由非完整框架定义的，而不是在切丛上，而是在与标准物理理论相容的（伪）黎曼流形上。我们专注于非交换变形的史瓦西度量到局部各向异性的固定的球形/旋转对称。导出了从两类依赖于非对易参数的精确解中提取黑洞构型的条件。第一类度规是由非对易几何的引力真空的非完整变形定义的。第二类解是由非对易物质场和/或宇宙学常数的有效极化引起的。
We study Finsler black holes induced from Einstein gravity as possible effects of quantum spacetime noncommutativity. Such Finsler models are defined by nonholonomic frames not on tangent bundles but on (pseudo)Riemannian manifolds being compatible with standard theories of physics. We focus on noncommutative deformations of Schwarzschild metrics into locally anisotropic stationary ones with spherical/rotoid symmetry. The conditions are derived when black hole configurations can be extracted from two classes of exact solutions depending on noncommutative parameters. The first class of metrics is defined by nonholonomic deformations of the gravitational vacuum by noncommutative geometry. The second class of such solutions is induced by noncommutative matter fields and/or effective polarizations of cosmological constants.