Galilean gauge theory from Poincare gauge theory
Rabin Banerjee, Pradip Mukherjee
TL;DR
This paper establishes a precise correspondence between Galilean gauge theory and Poincare gauge theory, enabling a vielbein formulation of Newtonian gravity without extra assumptions.
Contribution
It introduces an exact mapping between the two gauge theories and offers a vielbein approach to Newtonian gravity's geometric formulation.
Findings
Exact mapping between Galilean and Poincare gauge theories.
Vielbein formulation of Newtonian gravity without additional conditions.
Unified geometric framework for Newtonian and relativistic gravity.
Abstract
We provide an exact mapping between the Galilian gauge theory, recently advocated by us \cite{BMM1, BMM2, BM}, and the Poincare gauge theory. Applying this correspondence we provide a vielbein approach to the geometric formulation of Newton's gravity where no ansatze or additional conditions are required.
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