Peculiarities of Matter Motion in Metric-Affine Gravitational Theory

摘要

On the basis of the Lie derivative method in a metric-affine space-time it isshown that in the metric-affine gravitational theory the energy-momentumconservation law and therefore the equations of the matter motion are theconsequence (as in the GR) of the gravitational field equations. The possi-bility of the detection of the space-time non-metric properties is discussed.