  We consider time dependent problem in perturbative approach for a
nonrelativistic inviscid spherically symmetric accretion model where the effect
of the gravity of the medium is considered in Newtonian gravity framework. We
consider spherically symmetric nonrelativistic accretion, i.e. Bondi accretion
with self-gravity. Our approach is perturbative in the linear order of
perturbation regime. We introduce linear perturbation over the existing steady
state solution of the system. The analysis has two features, one is that the
linear perturbation in mass accretion rate in such irrotational inviscid model
of accretion gives rise to emergent gravity and on the other hand, we get some
significant insights about instabilities in the flow due to the effect of
gravity in the medium, whereas the instabilities are absent in the absence of
self-gravity.
