Lorentz Invariance and the Gravitational Field

@article{Kibble1961LorentzIA,
  title={Lorentz Invariance and the Gravitational Field},
  author={T. Kibble},
  journal={Journal of Mathematical Physics},
  year={1961},
  volume={2},
  pages={212-221}
}
  • T. Kibble
  • Published 1961
  • Physics
  • Journal of Mathematical Physics
An argument leading from the Lorentz invariance of the Lagrangian to the introduction of the gravitational field is presented. Utiyama's discussion is extended by considering the 10‐parameter group of inhomogeneous Lorentz transformations, involving variation of the coordinates as well as the field variables. It is then unnecessary to introduce a priori curvilinear coordinates or a Riemannian metric, and the new field variables introduced as a consequence of the argument include the vierbein… Expand
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