Geometric Gravitational Forces on Particles Moving in a Line
Abstract
In two-dimensional space-time, point particles can experience a geometric, dimension-specific gravity force, which modifies the usual geodesic equation of motion and provides a link between the cosmological constant and the vacuum θ-angle. The description of such forces fits naturally into a gauge theory of gravity based on the extended Poincar\'e group, i.e.\/ ``string-inspired'' dilaton gravity.
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