Relativistic perfect-fluid energy equation
= Relativistic perfect-fluid energy equation
The timelike projection of stress-energy conservation is $u^a\nabla_a\rho+(\rho+p)\nabla_au^a=0$. It is the local adiabatic first law for a perfect fluid.
= Relativistic perfect-fluid energy equation
The timelike projection of stress-energy conservation is $u^a\nabla_a\rho+(\rho+p)\nabla_au^a=0$. It is the local adiabatic first law for a perfect fluid.