1998/08/13 by Giovanni Modanese, G. Modanese
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1103/physrevd.59.024004
published as Phys.Rev. D59 (1999) 024004 · RevTeX, 8 pages
arxiv created 1998/08/13 · openalex publication_date 1998/12/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 nonperturbative behavior 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 √(g(x))R(x) vanishes.