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Gravity is the gauge theory of the parallel — transport modification of the poincare group

Chapter I. Gauge Theories

Part of the Lecture Notes in Mathematics book series (LNM,volume 676)

Abstract

We prove that only the Dynamically - Restricted Anholonomized General Coordinate Transformation Group reproduces Einstein's theory of Gravitation directly when gauged. This amounts to a Modified Poincaré group where translations are replaced by Parallel transport. We also explain the role of GL(4R) and explore the Modified Affine Group. Using the Ogievetsky theorem, we present several No-Go theorems restricting the joint application of Conformal and Affine Symmetries.

Keywords

  • Gauge Invariance
  • Lorentz Group
  • Parallel Transport
  • Local Gauge
  • Group Manifold

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Partially supported by the U.S. — Israel Binational Science Foundation.

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© 1978 Springer-Verlag

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Ne'eman, Y. (1978). Gravity is the gauge theory of the parallel — transport modification of the poincare group. In: Bleuler, K., Reetz, A., Petry, H.R. (eds) Differential Geometrical Methods in Mathematical Physics II. Lecture Notes in Mathematics, vol 676. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063672

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  • DOI: https://doi.org/10.1007/BFb0063672

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08935-3

  • Online ISBN: 978-3-540-35721-6

  • eBook Packages: Springer Book Archive