English

The Lagrangian description of perfect fluids and modified gravity with an extra force

Astrophysics of Galaxies 2010-04-23 v2 General Relativity and Quantum Cosmology

Abstract

We revisit the issue of the correct Lagrangian description of a perfect fluid (pressure versus minus energy density) in relation with modified gravity theories in which galactic luminous matter couples nonminimally to the Ricci scalar. These Lagrangians are only equivalent when the fluid couples minimally to gravity and not otherwise; in the presence of nonminimal coupling they give rise to two distinct theories with different predictions.

Keywords

Cite

@article{arxiv.0912.1249,
  title  = {The Lagrangian description of perfect fluids and modified gravity with an extra force},
  author = {Valerio Faraoni},
  journal= {arXiv preprint arXiv:0912.1249},
  year   = {2010}
}

Comments

3 pages, LaTex, to appear in Phys. Rev. D. References added