(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant 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.

3. 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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Conservation laws in a curve spacetime

**Physics Forums | Science Articles, Homework Help, Discussion**