Stability of cosmological solutions in f ( R ) models of gravity

  title={Stability of cosmological solutions in f ( R ) models of gravity},
  author={I. Sawicki and W. Hu},
  journal={Physical Review D},
  • I. Sawicki, W. Hu
  • Published 2007
  • Physics
  • Physical Review D
  • We reconcile seemingly conflicting statements in the literature about the behavior of cosmological solutions in modified theories of gravity where the Einstein-Hilbert Lagrangian for gravity is modified by the addition of a function of the Ricci scalar, $f(R)$. Using the example of $f(R)=\ifmmode\pm\else\textpm\fi{}{\ensuremath{\mu}}^{4}/R$ we show that only such choices of $f(R)$ where ${\mathrm{d}}^{2}f/\mathrm{d}{R}^{2}g0$ have stable high-curvature limits and well-behaved cosmological… CONTINUE READING

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