Vacuum structure for scalar cosmological perturbations in Modified Gravity Models

De Felice, Antonio;Suyama, Teruaki
(2009) Journal of Cosmology and Astroparticle Physics — Vol. 0906, p. 34 (2009)

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Authors
  • De Felice, AntonioUCLouvain
    Author
  • Suyama, TeruakiUCLouvain
    Author
Abstract
We have found for the general class of Modified Gravity Models f(R,G) a new instability which can arise in vacuum for the scalar modes of the cosmological perturbations if the background is not de Sitter. In particular, the short-wavelength modes, if stable, in general have a group velocity which depends linearly in k, the wave number. Therefore these modes will be in general superluminal. We have also discussed the condition for which in general these scalar modes will be ghost-like. There is a subclass of these models, defined out of properties of the function f(R,G) and to which the f(R) and f(G) models belong, which however does not have this feature.
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Citations

De Felice, A., & Suyama, T. (2009). Vacuum structure for scalar cosmological perturbations in Modified Gravity Models. Journal of Cosmology and Astroparticle Physics, 0906, 34. https://doi.org/10.1088/1475-7516/2009/06/034 (Original work published 2009)