The matter Lagrangian of an ideal fluid
Sergio Mendoza, Sarahí Silva
Abstract
We show that the matter Lagrangian of an ideal fluid equals (up to a sign depending on its definition and on the chosen signature of the metric) the total energy density of the fluid, i.e. rest energy density plus internal energy density.
Topics & Concepts
Perfect fluidLagrangianIdeal (ethics)PhysicsRest (music)Lagrangian and Eulerian specification of the flow fieldEnergy densitySign (mathematics)Classical mechanicsEnergy (signal processing)Signature (topology)Internal energyMathematical physicsMathematicsTotal energyIdeal gasInverse problem for Lagrangian mechanicsMathematical analysisNegative energyFluid dynamics and aerodynamics studiesBlack Holes and Theoretical PhysicsQuantum and Classical Electrodynamics