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arXiv · hep-th/0107042

The cosmological constant and oscillating metrics

Hael Collins·Bob Holdom
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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.

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Hael Collins, Bob Holdom. 2002-11-07. The cosmological constant and oscillating metrics. https://doi.org/10.1088/1126-6708%2F2002%2F10%2F052

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