Fermi coordinates around a boosted cosmic test mass in FLRW spacetime produce a circular gravitomagnetic field absent in the comoving frame.
Exact Fermi coordinates for a class of spacetimes
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abstract
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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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.