Is the $ISO(2,1)$ Gauge Gravity equivalent to the Metric Formulation?

Details Is the $ISO(2,1)$ Gauge Gravity equivalent to the Metric Formulation? Is the $ISO(2,1)$ Gauge Gravity equivalent to the Metric Formulation?

1996-08-21

arxiv.org/abs/gr-qc/9608048v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, LaTeX using revtex macro

Scientific paper

The quantization of the gravitational Chern-Simons coefficient is investigated in the framework of $ISO(2,1)$ gauge gravity. Some paradoxes involved are cured. The resolution is largely based on the inequivalence of $ISO(2,1)$ gauge gravity and the metric formulation. Both the Lorentzian scheme and the Euclidean scheme lead to the coefficient quantization, which means that the induced spin is not quite exotic in this context.

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