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Explicit Fermi Coordinates and Tidal Dynamics in de Sitter and Goedel Spacetimes

C. Chicone·B. Mashhoon
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Abstract

Fermi coordinates are directly constructed in de Sitter and Goedel spacetimes and the corresponding exact coordinate transformations are given explicitly. The quasi-inertial Fermi coordinates are then employed to discuss the dynamics of a free test particle in these spacetimes and the results are compared to the corresponding generalized Jacobi equations that contain only the lowest-order tidal terms. The domain of validity of the generalized Jacobi equation is thus examined in these cases. Furthermore, the difficulty of constructing explicit Fermi coordinates in black-hole spacetimes is demonstrated.

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C. Chicone, B. Mashhoon. 2006-05-16. Explicit Fermi Coordinates and Tidal Dynamics in de Sitter and Goedel Spacetimes. https://doi.org/10.1103/physrevd.74.064019

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