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arxiv: 0912.2779 · v1 · submitted 2009-12-15 · 🧮 math-ph · gr-qc· math.MP

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Exact Fermi coordinates for a class of spacetimes

David Klein , Peter Collas
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classification 🧮 math-ph gr-qcmath.MP
keywords coordinatesfermispacetimeclassconstantexactsitterspacetimes
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We find exact Fermi coordinates for timelike geodesic observers for a class of spacetimes that includes anti-de Sitter spacetime, de Sitter spacetime, the constant density interior Schwarzschild spacetime with positive, zero, and negative cosmological constant, and the Einstein static universe. Maximal charts for Fermi coordinates are discussed.

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  1. Generic Peculiar Motions in FLRW spacetimes

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    Boosted cosmic test masses in FLRW spacetimes produce Fermi metrics containing a circular gravitomagnetic field around their direction of motion.