Removing Ostrogradski’s ghost from cosmological perturbations in f(R,Rμν2,Cμνρσ2) gravity

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  • Yuji Akita
    Department of Physics, Rikkyo University, Toshima, Tokyo 175-8501, Japan
  • Tsutomu Kobayashi
    Department of Physics, Rikkyo University, Toshima, Tokyo 175-8501, Japan

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<jats:p> Recently, it was argued that gravity with the square of the Ricci tensor can be stabilized by adding constraints to the theory in a Lorentz violating way. This was so far demonstrated for fluctuations on the Minkowski/de Sitter background. We show that the same scheme works equally well for removing Ostrogradski’s ghost from fluctuations on a cosmological background in generic [Formula: see text]-type theories of gravity. As an application, we derive the general formula for the spectrum of primordial tensor perturbations from the stabilized theory. The evolution of matter density perturbations is also discussed. </jats:p>

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