Journal
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
Volume 20, Issue 4, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219887823500639
Keywords
Stress-energy tensor; perfect fluid; Einstein's equations
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This article introduces a method for obtaining the stress-energy tensor of a perfect fluid by adding a suitable term to the Einstein-Hilbert action. This term has the physical interpretation of pressure, and its variation should be understood with respect to the metric. Velocity potentials are not required in this derivation.
Here, I introduce a method to obtain the stress-energy tensor of the perfect fluid by adding a suitable term to the Einstein-Hilbert action. This term has the physical interpretation of pressure and variation should be understood with respect to the metric. In this derivation, velocity potentials are not needed.
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