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We construct nonassociative quasi-stationary solutions describingdeformations of Schwarzschild black holes, BHs, to ellipsoid configurations,which can be black ellipsoids, BEs, and/or BHs with ellipsoidal accretiondisks. Such solutions are defined by generic off-diagonal symmetric metrics andnonsymmetric 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 foreffective real sources with terms proportional to $\hbar \kappa $ (forrespective Planck and string constants). These sources and related effectivenontrivial cosmological constants are determined by nonlinear symmetries anddeformations of the Ricci tensor by nonholonomic star products encoding R-fluxcontributions from string theory. To generate various classes of (non)associative / commutative distorted solutions we generalize and apply theanholonomic frame and connection deformation method for constructing exact andparametric solutions in modified gravity and/or general relativity theories. Westudy properties of locally anisotropic relativistic, optically thick, couldand thin accretion disks around nonassociative distorted BHs, or BEs, when theeffects due to the rotation are negligible. Such configurations describeangular anisotropic deformations of axially symmetric astrophysical models whenthe nonassociative distortions are related to the outer parts of the accretiondisks.

Nonassociative black ellipsoids distorted by R-fluxes and four dimensional thin locally anisotropic accretion disks