  The possibility of an emergent universe solution to Einstein's field
equations allowing for an irreversible creation of matter at the expense of the
gravitational field is shown. With the universe being chosen as spatially flat
FRW spacetime together with equation of state proposed in [17], the solution
exists when the ratio of the phenomenological matter creation rate to the
number density times the Hubble parameter is a number $\beta$ of the order of
unity and independent of time. The thermodynamic behaviour is also determined
for this solution. Interestingly, we also find that an emergent universe
scenario is present with usual equation of state in cosmology when the matter
creation rate is chosen to be a constant. More general class of emergent
universe solutions are also discussed.
