Physics
Scientific paper
Mar 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cqgra..17.1447s&link_type=abstract
Classical and Quantum Gravity, Volume 17, Issue 6, pp. 1447-1453 (2000).
Physics
2
Scientific paper
The condition for a perfect fluid in the metric-affine extension of the Riemannian spacetime of general relativity is determined. The condition for a pure perfect fluid without any additional interactions imposes a very strong restriction on the continuity relation for the fluid. The effect of this restriction is to remove both the torsion and the Weyl vectors from the field equations. This shows that for matter described entirely by a perfect fluid, the continuity relation for the fluid must take its general relativistic form. This results opens up an entirely new arena in gravitational physics for the systematic investigation of various fluids with additional matter fields in metric-affine geometry. It is also shown for the case of symmetry breaking terms that break projective invariance of the Riemann scalar Lagrangian that the restrictive condition on the perfect fluid can be relaxed; however this method of extending fluids to the full metric-affine geometry, as is already known, will introduce unknown coupling constants into the theory.
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