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We investigate the evolution of the Universe filled with barotropic perfectfluid in Eddington-inspired Born-Infeld gravity. We consider both the isotropicand the anisotropic universe. At the early stage when the energy density ishigh, the evolution is modified considerably compared with that in generalrelativity. For the equation-of-state parameter $w>0$, the initial singularityis not accompanied as it was discovered for radiation in earlier work. Moreinterestingly, for pressureless dust ($w=0$), the initial state approaches a deSitter state. This fact opens a new possibility of singularity-free nature ofthe theory. The anisotropy is mild, and does not develop curvaturesingularities in spacetime contrary to general relativity.

Universe Driven by Perfect Fluid in Eddington-inspired Born-Infeld Gravity