The cosmological constant and oscillating metrics
arXiv:hep-th/0107042 · doi:10.1088/1126-6708/2002/10/052
Abstract
The presence of a cosmological constant, Lambda, in an action with higher powers of the curvature can produce rapidly oscillating metrics. We develop a perturbative approach for generating periodic solutions to the non-linear field equations for such actions based on a small amplitude expansion. We find that these oscillations have an amplitude proportional to \sqrtΛ and a frequency of order the Planck mass. In a 4+1 dimensional scenario, a family of metrics exists that are periodic in the extra dimension and are parameterized by an effective four-dimensional cosmological constant which drives a rapid oscillation.
15 pages, uses JHEP, no figures