Peculiarities of Matter Motion in Metric-Affine Gravitational Theory
O. V. Babourova, B. N. Frolov, M. Yu. Koroliov (Department of, Mathematics, Moscow State Pedagogical University)
TL;DR
This paper explores how matter moves in metric-affine gravity, showing that energy-momentum conservation arises from gravitational field equations and discussing potential detection of non-metric space-time properties.
Contribution
It demonstrates that matter motion equations in metric-affine gravity follow from gravitational field equations, similar to general relativity, and discusses the detectability of non-metric properties.
Findings
Energy-momentum conservation is derived from gravitational field equations.
Matter motion equations are analogous to those in GR.
Discussion on the potential detection of non-metric space-time features.
Abstract
On the basis of the Lie derivative method in a metric-affine space-time it is shown that in the metric-affine gravitational theory the energy-momentum conservation law and therefore the equations of the matter motion are the consequence (as in the GR) of the gravitational field equations. The possi- bility of the detection of the space-time non-metric properties is discussed.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Geophysics and Gravity Measurements