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Fermi coordinates are directly constructed in de Sitter and Goedel spacetimesand the corresponding exact coordinate transformations are given explicitly.The quasi-inertial Fermi coordinates are then employed to discuss the dynamicsof a free test particle in these spacetimes and the results are compared to thecorresponding generalized Jacobi equations that contain only the lowest-ordertidal terms. The domain of validity of the generalized Jacobi equation is thusexamined in these cases. Furthermore, the difficulty of constructing explicitFermi coordinates in black-hole spacetimes is demonstrated.Comment: 23 pages, 3 figures; v2: expanded version (27 pages, 3 figures

Explicit Fermi coordinates and tidal dynamics in de Sitter and Gödel spacetimes