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18 January 2025
 
  » arxiv » gr-qc/9210009

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Improved Energy-Momentum Currents in Metric-Affine Spacetime
Ralf Hecht ; Friedrich W. Hehl ; J. Dermott McCrea ; Eckehard W. Mielke ; Yuval Ne’eman ;
Date 15 Oct 1992
Journal Phys.Lett. A172 (1992) 13-20
Subject gr-qc hep-th
AbstractIn Minkowski spacetime it is well-known that the canonical energy-momentum current is involved in the construction of the globally conserved currents of energy-momentum and total angular momentum. For the construction of conserved currents corresponding to (approximate) scale and proper conformal symmetries, however, an improved energy-momentum current is needed. By extending the Minkowskian framework to a genuine metric-affine spacetime, we find that the affine Noether identities and the conformal Killing equations enforce this improvement in a rather natural way. So far, no gravitational dynamics is involved in our construction. The resulting dilation and proper conformal currents are conserved provided the trace of the energy-momentum current satisfies a (mild) scaling relation or even vanishes.
Source arXiv, gr-qc/9210009
Other source [GID 1047171] gr-qc/9210009
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