The mathematical foundations of general relativity revisited

  title={The mathematical foundations of general relativity revisited},
  author={J. F. Pommaret},
  journal={arXiv: Mathematical Physics},
  • J. Pommaret
  • Published 12 June 2013
  • Mathematics
  • arXiv: Mathematical Physics
The purpose of this paper is to present for the first time an elementary summary of a few recent results obtained through the application of the formal theory of partial differential equations and Lie pseudogroups in order to revisit the mathematical foundations of general relativity. Other engineering examples (control theory, elasticity theory, electromagnetism) will also be considered in order to illustrate the three fundamental results that we shall provide. The paper is therefore divided… 
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