TL;DR
This paper generalizes Fermi coordinates by allowing higher-order terms to be arbitrary functions, leading to a formalism that simplifies metric components in certain spacetime examples.
Contribution
It introduces a generalized definition of Fermi coordinates with arbitrary higher-order functions, expanding their applicability and simplifying metric calculations.
Findings
Extended Fermi coordinates can simplify metric components.
The formalism provides explicit coordinate transformation formulas.
Examples demonstrate practical advantages of the generalized coordinates.
Abstract
We extend the notion of Fermi coordinates to a generalized definition in which the highest orders are described by arbitrary functions. From this definition rises a formalism that naturally gives coordinate transformation formulae. Some examples are developped in which the extended Fermi coordinates simplify the metric components.
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