Abstract
In this paper, we study, in the Newtonian limit, the virial theorem in the context of a scalar tensor fourth order gravity. In particular, we show, that for a isolated galaxy in viral equilibrium, a specific class of scalar tensor fourth order gravity, i.e. f(R,phi )+omega (phi ),phi _{;alpha },phi ^{;alpha } in not suitable to explain the large fraction of dark matter necessary to have the flatness of the galaxies rotation curves experimentally observed.
Highlights
Several observational data [1,2,3,4,5,6] probe that the observed Universe appears in accelerated expansion and spatially flat
In this paper, we study, in the Newtonian limit, the virial theorem in the context of a scalar tensor fourth order gravity
We show, that for a isolated galaxy in viral equilibrium, a specific class of scalar tensor fourth order gravity, i.e. f (R, φ)+ω(φ) φ;α φ;α in not suitable to explain the large fraction of dark matter necessary to have the flatness of the galaxies rotation curves experimentally observed
Summary
Several observational data [1,2,3,4,5,6] probe that the observed Universe appears in accelerated expansion and spatially flat. The aim of this paper is to show that in the Newtonian limit, the virial theorem implies that for an isolated galaxy in viral equilibrium, a specific class of STFOF of the form f (R, φ) + ω(φ)φ; αφ;α is inadequate to explain the large fraction of dark matter which is necessary to account for the flatness of the galaxies rotation curves. Such a result occurs for some values of the parameters characterizing the model under consideration.
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