Einstein's gravitation as a gauge theory of the Lorentz group

Details Einstein's gravitation as a gauge theory of the Lorentz group Einstein's gravitation as a gauge theory of the Lorentz group

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.3144f&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 12, 15 June 1985, pp.3144-3149

Physics

5

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Lattice Gauge Theory

Scientific paper

The gauge principle in the loop space is invoked to produce the gauge theory of the Lorentz group. The full kinematics of gravitation is derived from this principle. The dynamics is introduced with a gauge ``matter field'' Lagrangian which leads to the sourceless Einstein equations. Some possibilities about quantization and implementation on the lattice are suggested.

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