  We prove that nonassociative star deformed vacuum Einstein equations can be
decoupled and integrated in certain general forms on phase spaces involving
real R-flux terms induced as parametric corrections on base Lorentz manifold
spacetimes. The geometric constructions are elaborated with parametric (on
respective Planck, $\hbar $, and string, $\kappa :=\mathit{\ell
}_{s}^{3}/6\hbar $, constants) and nonholonomic dyadic decompositions of
fundamental geometric and physical objects. This is our second partner work on
elaborating nonassociative geometric and gravity theories with symmetric and
nonsymmetric metrics, (non) linear connections, star deformations defined by
generalized Moyal-Weyl products, endowed with quasi-Hopf algebra, or other type
algebraic and geometric structures, and all adapted to nonholonomic
distributions and frames. We construct exact and parametric solutions for
nonassociative vacuum configurations (with nontrivial or effective cosmological
constants) defined by star deformed generic off-diagonal (non) symmetric
metrics and (generalized) nonlinear and linear connections. The coefficients of
geometric objects defining such solutions are determined by respective classes
of generating and integration functions and constants and may depend on all
phase space coordinates [spacetime ones, $(x^{i},t)$; and momentum like
variables, $(p_{a},E$)]. Quasi-stationary configurations are stated by
solutions with spacetime Killing symmetry on a time like vector $\partial _{t}$
but with possible dependencies on momentum like coordinates on star deformed
phase spaces.
