Stability Issues in Euclidean Quantum Gravity

Details Stability Issues in Euclidean Quantum Gravity Stability Issues in Euclidean Quantum Gravity

1998-08-13

arxiv.org/abs/gr-qc/9808037v1

Phys.Rev. D59 (1999) 024004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX, 8 pages

Scientific paper

10.1103/PhysRevD.59.024004

It is known that the action of Euclidean Einstein gravity is not bounded from below and that the metric of flat space does not correspond to a minimum of the action. Nevertheless, perturbation theory about flat space works well. The deep dynamical reasons for this reside in the non perturbative behaviour of the system and have been clarified in part by numerical simulations. Several open issues remain. We treat in particular those zero modes of the action for which R(x) is not identically zero, but the integral of sqrt{g(x)} R(x) vanishes.

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