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

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

2009-12-07

arxiv.org/abs/0912.1249v2

Phys.Rev.D80:124040,2009

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

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

Scientific paper

10.1103/PhysRevD.80.124040

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.

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