Nonholonomic mapping principle for classical mechanics in spacetimes with curvature and torsion. New covariant conservation law for energy-momentum tensor

摘要

The lecture explains the geometric basis for the recently-discovered nonholonomic mapping principle which specifies certain laws of nature in spacetimes with curvature and torsion from those in flat spacetime, thus replacing and extending Einstein's equivalence principle. An important consequence is a new action principle for determining the equation of mo- tion of a free spin less point particle in such spacetimes. Surprisingly, this equation contains a torsion force, although the action involves only the metric.