Making classical and quantum canonical general relativity computable through a power series expansion in the inverse cosmological constant

Details Making classical and quantum canonical general relativity computable through a power series expansion in the inverse cosmological constant Making classical and quantum canonical general relativity computable through a power series expansion in the inverse cosmological constant

2000-08-14

arxiv.org/abs/gr-qc/0008031v2

Phys.Rev.Lett. 85 (2000) 5272-5275

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, RevTeX with multicol and psfig

Scientific paper

10.1103/PhysRevLett.85.5272

We consider general relativity with a cosmological constant as a perturbative expansion around a completely solvable diffeomorphism invariant field theory. This theory is the $\Lambda\to\infty$ limit of general relativity. This allows an explicit perturbative computational setup in which the quantum states of the theory and the classical observables can be explicitly computed. The zeroth order corresponds to highly degenerate space-times with vanishing volume. Perturbations give rise to space-times with non-vanishing volumes in a natural way. The spectrum of area- and volume-related observables constructed by coupling the theory to matter can be directly assessed. An unexpected relationship arises at a quantum level between the discrete spectrum of the volume operator and the allowed values of the cosmological constant.

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