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Pseudotensors and quasilocal energy-momentum

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arxiv gr-qc/9809040 v2 pith:R2JQWKFK submitted 1998-09-10 gr-qc

Pseudotensors and quasilocal energy-momentum

classification gr-qc
keywords boundaryenergy-momentumquasilocalpseudotensorsconditionshamiltoniantermacceptable
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Early energy-momentum investigations for gravitating systems gave reference frame dependent pseudotensors; later the quasilocal idea was developed. Quasilocal energy-momentum can be determined by the Hamiltonian boundary term, which also identifies the variables to be held fixed on the boundary. We show that a pseudotensor corresponds to a Hamiltonian boundary term. Hence they are quasilocal and acceptable; each is the energy-momentum density for a definite physical situation with certain boundary conditions. These conditions are identified for well-known pseudotensors.

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