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Abstract
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We consider existence and stability of the Einstein static solution in the framework of Generalized
Uncertainty Principle (GUP) effects. We show that this solution in the presence of perfect fluid
with a minimal length is cyclically stable around a center equilibrium point. By taking linear
homogeneous perturbations, we find that the scale factor of Einstein static universe for closed
deformed isotropic and homogeneous FLRW universe depends on the GUP coupling parameter .
Study of the Einstein static universe in the modified gravities is interesting because it supports
non-singular emergent cosmological models in which the early universe oscillates indeterminately
about an initial Einstein static solution and is thus past eternal.
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