- #1
Magister
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Homework Statement
Given the energy-momentum tensor for a perfect fluid, what is the conservation laws that I can compute from
[tex]
\nabla_b T^{ab}=0
[/tex]
in a curve space-time.
Homework Equations
[tex]
T^{ab}=(\rho + p) u^a u^b - p g^{ab}
[/tex]
where p is the pressure and [itex]\rho[/itex] is the density.
The Attempt at a Solution
I have already compute the geodesic equation, the equivalent to the equation of motion in a flat space-time.
I would like to know if there is any other conservation law to get. I supose that might be another one equivalent to the Navie-Strokes in flat space-time...
Thanks in advance