Classical and Quantum Gravity on Conformal Superspace

Details Classical and Quantum Gravity on Conformal Superspace Classical and Quantum Gravity on Conformal Superspace

1999-11-19

arxiv.org/abs/gr-qc/9911071v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

The four-dimensional gauge group of general relativity corresponds to arbitrary coordinate transformations on a four-manifold. Theories of gravity with a dynamical structure remarkably like Einstein's theory can be obtained on the basis of a four-dimensional gauge group of arbitrary coordinate and conformal transformations of riemannian metrics defined on a three-manifold. This new symmetry is more restrictive and hence more predictive. Many of the difficulties that have plagued the canonical quantization of general relativity seem to vanish.

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