Deformed Weitzenb\"ock Connections and Teleparallel Gravity

Understand

We study conditions on a generic connection written in terms of first-order derivatives of the vielbein in order to obtain (possible) equivalent theories to Einstein Gravity.

• We derive the equations of motion for these theories which are based on the new connections.
• We recover the Teleparallel Gravity equations of motion as a particular case.
• The analysis of this work might be useful to Double Field Theory to find other connections determined in terms of the physical fields.