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The geometrical meaning of the Weitzenb\"ock connection
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In the current literature, there are many discussions about the local Lorentz invariance of modified teleparallel gravity. This symmetry is obviously violated in the classical "pure tetrad" formulation of the theory, while it gets restored in the "fully covariant" approach. My claim is that, despite many heated discussions, the two formulations are just equivalent. And the purpose of this note is to argue that the local Lorentz invariance is not natural for the modified teleparallel theories at all, making the pure tetrad approach more fundamentally justified.
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Cited by 2 Pith papers
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Weak Gravity Limit in Newer General Relativity
In Newer GR, stable tensor and vector sectors force one coefficient combination to its GR value, and the STEGR-plus-gradient-squared model carries 3/2 new dynamical modes, not 1.
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Is there any Trinity of Gravity, to start with?
The teleparallel equivalents of general relativity are reformulations with unobservable extra structures, so there is no geometric trinity of gravity.
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