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In order to study whether the anisotropy of the spacetime may induce differences in the cosmic shear or in the deceleration parameter, we investigate in the Bianchi I Universe the most general expression for the cosmic shear and we study the connections between deceleration parameter and cosmic shear. We also consider a shear parametric approach to measure the transition from a decelerating to an accelerating Universe. We also study the connection between jerk parameter and ellipsoidal Universe.

Ellipsoidal expansion of the Universe, cosmic shear, acceleration and jerk parameter