Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1992-10-15
Phys.Lett.A172:13-20,1992
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14pp
Scientific paper
10.1016/0375-9601(92)90182-L
In 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.
Hecht Ralf
Hehl Friedrich W.
McCrea Dermott J.
Ne'eman Yuval
~Mielke Eckehard W.
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