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Nonminimal coupling of perfect fluids to curvature · Around

2008

Nonminimal coupling of perfect fluids to curvature

Bertolami, Orfeu, Lobo, Francisco S. N., Páramos, Jorge

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In this work, we consider different forms of relativistic perfect fluid Lagrangian densities, that yield the same gravitational field equations in General Relativity.

A particularly intriguing example is the case with couplings of the form $[1+f_2(R)]{\cal L}_m$, where $R$ is the scalar curvature, which induces an extra force that depends on the form of the Lagrangian density.
It has been found that, considering the Lagrangian density ${\cal L}_m = p$, where $p$ is the pressure, the extra-force vanishes.
We argue that this is not the unique choice for the matter Lagrangian density, and that more natural forms for ${\cal L}_m$ do not imply the vanishing of the extra-force.

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Then

O. Bertolami, C. G. Boehmer, T. Harko and F. S. N. Lobo, Phys. Rev
2007
Later among the works it cites.
V. Faraoni, Phys. Rev
2007
Later among the works it cites.
O. Bertolami and J. Páramos, Phys. Rev
2008
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