  It is dealt with the question, under which circumstances the canonical
Noether stress-energy tensor is equivalent to the gravitational (Hilbert)
tensor for general matter fields under the influence of gravity. In the
framework of general relativity, the full equivalence is established for matter
fields that do not couple to the metric derivatives. Spinor fields are included
into our analysis by reformulating general relativity in terms of tetrad
fields, and the case of Poincare gauge theory, with an additional, independent
Lorentz connection, is also investigated. Special attention is given to the
flat limit, focusing on the expressions for the matter field energy
(Hamiltonian). The Dirac-Maxwell system is investigated in detail, with special
care given to the separation of free (kinetic) and interaction (or potential)
energy. Moreover, the stress-energy tensor of the gravitational field itself is
briefly discussed.

General Relativity and Quantum Cosmology