Resumen de The dominant energy condition and generalised Rainich conditions
We show that any tensor satisfying the dominant energy condition on an Ndimensional Lorentzian manifold can be written as a sum of N-l superenergy tensors of simple forms and the metric. We also prove that the set of non-singular superenergy tensors of simple forms is precisely the set of tensors proportional to involutary time orientation preserving Lorentz transformations. Finally, we find generalised algebraic Rainich conditions, i.e. ways of determining the physics from the geometry, for energy-momentum tensors of arbitrary trace in arbitrary dimension.
