A new approach to modified-gravity models
  We investigate f(R)-gravity models performing the ADM-slicing of standard
General Relativity. We extract the static, spherically-symmetric vacuum
solutions in the general case, which correspond to either Schwarzschild
de-Sitter or Schwarzschild anti-de-Sitter ones. Additionally, we study the
cosmological evolution of a homogeneous and isotropic universe, which is
governed by an algebraic and not a differential equation. We show that the
universe admits solutions corresponding to acceleration at late cosmological
epochs, without the need of fine-tuning the model-parameters or the initial
conditions.
