The matter Lagrangian of an ideal fluid

2021/01/01 by Sergio Mendoza, Sarahí Silva · 1 citation
Engineering · Physics and Astronomy · #Fluid dynamics and aerodynamics studies #Black Holes and Theoretical Physics #Quantum and Classical Electrodynamics

paper · doi:10.1142/s0219887821500596

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.

Citations

• Action functionals for relativistic perfect fluids

Cited by

• Scalar-tensor theories in the Lyra geometry: Invariance under local transformations of length units and the Jordan-Einstein frame conundrum

Related

• The hidden truth of ideal relativistic fluids: the matter Lagrangian is its total energy density, not its pressure!
• K-essence Lagrangians of polytropic and logotropic unified dark matter and dark energy models
• Cosmological Implications of Nonminimally-Coupled f(R) Gravity and the Lagrangian of Cosmic Fluids
• Thermodynamic invariance of the energy-momentum tensor under matter-Lagrangian choices and its astrophysical implications in f(R,T) gravity
• The variational theory of perfect fluid with intrinsic hypermomentum in space-time with nonmetricity