Geodesic Deviation Equation in Bianchi Cosmologies

Understand

We present the Geodesic Deviation Equation (GDE) for the Friedmann-Robertson-Walker(FRW) universe and we compare it with the equation for Bianchi type I model.

• We justify consider this cosmological model due to the recent importance the Bianchi Models have as alternative models in cosmology.
• The main property of these models, solutions of Einstein Field Equations (EFE) is that they are homogeneous as the FRW model but they are not isotropic.
• We can see this because they have a non-null Weyl tensor in the GDE.