Energy-Momentum and Equivalence Principle in Non-Riemannian Geometries

Details Energy-Momentum and Equivalence Principle in Non-Riemannian Geometries Energy-Momentum and Equivalence Principle in Non-Riemannian Geometries

Jun 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997gregr..29..691c&link_type=abstract

General Relativity and Gravitation, Volume 29, Issue 6, p.691-703

Physics

1

Scientific paper

We introduce an energy-momentum density vector which is independent of the affine structure of the manifold and whose conservation is linked to observers. Integrating this quantity over time-like surfaces we can define Hamiltonian and momentum for the system which coincide with the corresponding {ßc adm} definitions for the case of irrotational Riemannian manifolds. As a consequence of our formalism, a Weak Equivalence Principle version for manifolds with torsion appears as the natural extension to non-Riemannian geometries from the Equivalence Principle of General.

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