Fermi coordinates in Schwarzschild spacetime: closed form expressions

Physics

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Fermi Coordinates, Schwarzschild Spacetime

Scientific paper

Fermi coordinates are constructed as exact functions of the Schwarzschild coordinates around the world line of a static observer in the equatorial plane of the Schwarzschild spacetime modulo a single impact parameter determined implicitly as a function of the latter coordinates. This illustrates the difficulty of constructing explicit exact Fermi coordinates even along simple world lines in highly symmetric spacetimes.

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