Abstract
Schwarzschild geometry exhibits interesting features when the field equations are decomposed with respect to a system of freely falling observers. We only use quantities behaving like tensors under a restricted group of transformations of the reference system. Moreover Lorentz transformations with non-constant velocities drastically change the physical picture of the theory.
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Burghardt, R. Schwarzschild geometry, once more. Found Phys Lett 8, 575–582 (1995). https://doi.org/10.1007/BF02186248
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DOI: https://doi.org/10.1007/BF02186248