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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

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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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Cited by 2 Pith papers

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    Computes the dimensionless spin parameter s = J/(G_N M^2) of false vacuum bubbles from density and velocity perturbations in FOPTs, yielding values from O(10^{-5}) to O(10) and a scaling relation with FOPT timescale, ...

  2. General Relativity, Mental Causation, and Energy Conservation

    physics.hist-ph 2019-08 conditional novelty 7.0 of 10

    General Relativity, through the generalized Bianchi identities, forces the simplest scalar form of Cartesian mental influence to be constant and therefore zero, so it resists rather than enables mental causation.

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