Area metric gravity and accelerating cosmology

Details Area metric gravity and accelerating cosmology Area metric gravity and accelerating cosmology

2006-12-14

arxiv.org/abs/hep-th/0612141v1

JHEP 0702:030,2007

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, 1 figure, companion paper to hep-th/0612133

Scientific paper

10.1088/1126-6708/2007/02/030

Area metric manifolds emerge as effective classical backgrounds in quantum string theory and quantum gauge theory, and present a true generalization of metric geometry. Here, we consider area metric manifolds in their own right, and develop in detail the foundations of area metric differential geometry. Based on the construction of an area metric curvature scalar, which reduces in the metric-induced case to the Ricci scalar, we re-interpret the Einstein-Hilbert action as dynamics for an area metric spacetime. In contrast to modifications of general relativity based on metric geometry, no continuous deformation scale needs to be introduced; the extension to area geometry is purely structural and thus rigid. We present an intriguing prediction of area metric gravity: without dark energy or fine-tuning, the late universe exhibits a small acceleration.

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