The matter Lagrangian of an ideal fluid

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.

5 pages, accepted for publication in: International Journal of Geometric Methods in Modern Physics (IJGMMP)

References in corpus (7)

• f(R,T) gravity
• f(R,L_m) gravity
• Nonminimal coupling of perfect fluids to curvature
• Generalized curvature-matter couplings in modified gravity
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• New derivation of the Lagrangian of a perfect fluid with a barotropic equation of state
• Lagrangian description of cosmic fluids: mapping dark energy into unified dark energy

Cited by in corpus (14)

• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• The first variation of the matter energy-momentum tensor with respect to the metric, and its implications on modified gravity theories
• Effects of the matter Lagrangian degeneracy in $f(Q,T)$ gravity
• Anisotropic Tolman V Solutions by Decoupling Approach in $f(R,T^2)$ Gravity
• Late-Time Anisotropy Sourced by a 2-Form Field Non-Minimally Coupled to Cold Dark Matter
• Tunneling to Holographic Traversable Wormholes
• Gravitational Collapse via Wheeler-DeWitt Equation
• Gravitation with modified fluid Lagrangian: Variational principle and an early dark energy model
• Probing Strong Field $f(R)$ Gravity and Ultra-Dense Matter with the Structure and Thermal Evolution of Neutron Stars
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• Black hole spectra from Vaz's quantum gravitational collapse
• Relations between Newtonian and relativistic cosmology
• The matter Lagrangian of a non-perfect fluid