We provide an exact mapping between the Galilean gauge theory, recently advocated by us [R. Banerjee, A. Mitra, and P. Mukherjee, Phys. Lett. B 737, 369 (2014); Classial Quantum Gravity 32, 045010 (2015); R. Banerjee and P. Mukherjee, Phys. Rev. D 93, 085020 (2016)] and the Poincare gauge theory. Applying this correspondence we provide a vielbein approach to the geometric formulation of Newton’s gravity where no Ansätze or additional conditions are required.

• Received 19 October 2018

DOI:https://doi.org/10.1103/PhysRevD.98.124021