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Abstract
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We investigate stability of the Einstein static universe against the scalar, vector
and tensor perturbations in the context of induced matter brane gravity. It is shown that in
the framework of this model, the Einstein static universe has a positive spatial curvature. In
contrast to the classical general relativity, it is found that a stable Einstein static universe
against the scalar perturbations does exist provided that the variation of time dependent
geometrical equation of state parameter is proportional tothe minus of the variation of the
scale factor,δω
g
(t) =−Cδa(t). We obtain neutral stability against the vector perturbations,
and the stability against the tensor perturbations is guaranteed due to the positivity of the
spatial curvature of the Einstein static universe in induced matter brane gravity.
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