Open AccessArea metric gravity and accelerating cosmology
Author(s) -
Raffaele Punzi,
F. Schüller,
Mattias N. R. Wohlfarth
Publication year - 2007
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2007/02/030
Subject(s) - fubini–study metric , fisher information metric , fundamental theorem of riemannian geometry , physics , quantum gravity , scalar curvature , metric (unit) , linearized gravity , theoretical physics , quantum geometry , classical mechanics , injective metric space , geometry , curvature , general relativity , mathematics , metric space , quantum , pure mathematics , quantum mechanics , quantum dynamics , operations management , economics , quantum operation
Area metric manifolds emerge as effective classical backgrounds in quantumstring theory and quantum gauge theory, and present a true generalization ofmetric 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 inthe metric-induced case to the Ricci scalar, we re-interpret theEinstein-Hilbert action as dynamics for an area metric spacetime. In contrastto modifications of general relativity based on metric geometry, no continuousdeformation scale needs to be introduced; the extension to area geometry ispurely structural and thus rigid. We present an intriguing prediction of areametric gravity: without dark energy or fine-tuning, the late universe exhibitsa small acceleration.Comment: 52 pages, 1 figure, companion paper to hep-th/061213
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