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

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

2005-11-24

arxiv.org/abs/gr-qc/0511129v2

Phys.Rev. D74 (2006) 064019

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 3 figures; v2: expanded version (27 pages, 3 figures)

Scientific paper

10.1103/PhysRevD.74.064019

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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