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Explicit Fermi Coordinates and Tidal Dynamics in de Sitter and Goedel Spacetimes
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Explicit Fermi Coordinates and Tidal Dynamics in de Sitter and Goedel Spacetimes
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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.
Forward citations
Cited by 2 Pith papers
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Generic Peculiar Motions in FLRW Spacetimes
Boosted cosmic test masses in FLRW spacetimes produce Fermi metrics containing a circular gravitomagnetic field around their direction of motion.
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Generic Peculiar Motions in FLRW Spacetimes
Fermi coordinates around a boosted cosmic test mass in FLRW spacetime produce a circular gravitomagnetic field absent in the comoving frame.
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