Nonminimal coupling of perfect fluids to curvature

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dc.creatorBertolami, Orfeu
dc.creatorLobo, Francisco S. N.
dc.creatorPáramos, Jorge
dc.date2008-06-27
dc.date2008-09-12
dc.date.accessioned2026-07-07T11:52:04Z
dc.date.available2026-07-07T11:52:04Z
dc.descriptionIn 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. Particular attention is paid to the impact on the classical equivalence between different Lagrangian descriptions of a perfect fluid.
dc.description6 pages. V2: minor changes and references added
dc.identifierhttps://arxiv.org/abs/0806.4434
dc.identifierhttp://arxiv.org/abs/0806.4434
dc.identifierPhys.Rev.D78:064036,2008
dc.identifierdoi:10.1103/PhysRevD.78.064036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204104
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleNonminimal coupling of perfect fluids to curvature
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