R流畸变的非关联黑椭球和四维薄的局部各向异性吸积盘
Nonassociative black ellipsoids distorted by R-fluxes and four dimensional thin locally anisotropic accretion disks
摘要：
我们构建非关联的拟稳态解描述变形的史瓦西黑洞，BH，椭球配置，这可以是黑色的椭球，BE，和/或BH与椭球吸积盘。这样的解由一般的非对角对称度量和度量的非对称分量（在四维4维洛伦兹流形时空上为零，但在相应的8维全（余）切丛中是非平凡的）定义。对于有效实源，发现了扭曲的非结合BH和BE解，其项与$\hbar κ$成比例（对于各自的普朗克和弦常数）。这些源和相关的有效非平凡的宇宙学常数由非完整星积编码的R-通量贡献的弦论的Ricci张量的非线性对称性和变形决定。为了生成各种类别的（非）结合/交换扭曲的解决方案，我们推广和应用非完整框架和连接变形方法，用于在修改后的引力和/或广义相对论理论中构造精确和参数解。本文研究了当转动效应可以忽略时，非缔合畸变黑洞（或称黑洞）周围局部各向异性相对论性光学厚壳和薄吸积盘的性质。当非关联畸变与吸积盘的外部有关时，这样的配置描述了轴对称天体物理模型的角各向异性变形。
英文摘要：
We construct nonassociative quasi-stationary solutions describing deformations of Schwarzschild black holes, BHs, to ellipsoid configurations, which can be black ellipsoids, BEs, and/or BHs with ellipsoidal accretion disks. Such solutions are defined by generic off-diagonal symmetric metrics and nonsymmetric components of metrics (which are zero on base four dimensional, 4-d, Lorentz manifold spacetimes but nontrivial in respective 8-d total (co) tangent bundles). Distorted nonassociative BH and BE solutions are found for effective real sources with terms proportional to $\hbar κ$ (for respective Planck and string constants). These sources and related effective nontrivial cosmological constants are determined by nonlinear symmetries and deformations of the Ricci tensor by nonholonomic star products encoding R-flux contributions from string theory. To generate various classes of (non) associative / commutative distorted solutions we generalize and apply the anholonomic frame and connection deformation method for constructing exact and parametric solutions in modified gravity and/or general relativity theories. We study properties of locally anisotropic relativistic, optically thick, could and thin accretion disks around nonassociative distorted BHs, or BEs, when the effects due to the rotation are negligible. Such configurations describe angular anisotropic deformations of axially symmetric astrophysical models when the nonassociative distortions are related to the outer parts of the accretion disks.
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