Inclusion of a perfect fluid term into the Einstein-Hilbert action

Abstract

I introduce a method to obtain the stress-energy tensor of the perfect fluid by adding a suitable term to the Einstein-Hilbert action. Variation should be understood with respect to the metric.

8 pages. v2: improved choice of variables, added several references

References in corpus (4)

• New derivation of the Lagrangian of a perfect fluid with a barotropic equation of state
• Separate Einstein-Eddington Spaces and the Cosmological Constant
• A variational formulation of relativistic hydrodynamics
• Field Theory of the Eulerian Perfect Fluid

Cited by in corpus (1)

• The first variation of the matter energy-momentum tensor with respect to the metric, and its implications on modified gravity theories