Is Teleparallel Gravity really equivalent to General Relativity?

Understand

An axiomatization of the so-called Teleparallel Equivalent to General Relativity is presented.

• A set of formal and semantic postulates are elaborated from where the physical meaning of various key concepts of the theory are clarified.
• These concepts include those of inertia, Lorentz and diffeomorphism invariance, and reference frame.
• It is shown that Teleparallel Gravity admits a wider representation of space-time than General Relativity, allowing to define properties of the gravitational field such as energy and momentum that are usually considered problematic.