Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-05
JHEP 0210 (2002) 052
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, uses JHEP, no figures
Scientific paper
10.1088/1126-6708/2002/10/052
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 \sqrt{\Lambda} 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.
Collins Hael
Holdom Bob
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