Negative mode problem in false vacuum decay with gravity
arXiv:gr-qc/0004025 · doi:10.1016/S0920-5632(00)00756-8
Abstract
There is a single negative mode in the spectrum of small perturbations about the tunneling solutions describing a metastable vacuum decay in flat spacetime. This mode is needed for consistent description of decay processes. When gravity is included the situation is more complicated. An approach based on elimination of scalar field perturbations shows no negative mode, whereas the recent approach based on elimination of gravitational perturbations indicates presence of a negative mode. In this contribution we analyse and compare the present approaches to the negative mode problem in false vacuum decay with gravity.
8 pages, 1 eps figure, Talk given at Constrained Dynamics and Quantum Gravity 99, Villasimius, (Sardinia, Italy), September 14-18, 1999. To apper in the Proceedings. After this contribution was essentially completed, further progress in investigation of negative mode problem was made. The results are summarized in the revised version of gr-qc/0001041
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