Generalization To Curved Spacetimes
Rindler coordinates described above can be generalized to curved spacetime, and are called as Fermi normal coordinates. The generalization essential involves constructing an appropriate orthonormal tetrad and then transporting it along the given trajectory using the Fermi-Walker transport rule. For details, see the paper by Ni and Zimmermann in the references below. Such a generalization actually enables one to study inertial and gravitational effects in an Earth based laboratory, as well as the more interesting coupled inertial-gravitational effects.
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