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2009

A new approach to modified-gravity models

Chakrabarti, Sayan K., Saridakis, Emmanuel N., Sen, Anjan A.

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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.

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