Introduction to Relativistic Hydrodynamics

Relativistic ideal hydrodynamics
Summary
Energy-momentum tensor and conserved current
Basic equations
T µν
0
N µ
0
= (ɛ + Ps) u µ u ν − Ps g µν = ɛu µ u ν − Ps∆ µν ,
= nuµ
∂µT µν
0
= 0, ∂µN µ
0
◮ local rest frame simplifies equations, e. g.
= 0
∂µT µν
LRF = 0 ⇒ ∂0ɛ + ∂iP i = 0
◮ entropy density s resp. entropy current S µ = su µ conservation
November 22nd, 2012 | TUD - IKP | D. Nowakowski | 15
uν∂µT µν
LRF = 0 ⇒ ∂µS µ = 0