A viable model for modified gravity
We propose a model for modified gravity that meets the conditions of viability. The model has stable constant curvature solution and for an special case contains flat space time solution. The model also leads to matter stability under small perturbations of scalar curvature. We give an example of restrictions on the parameters that give large enough scalaron mass to avoid detectable corrections to the Newton’s law. At large curvature the model tends to an effective cosmological constant that leads to the exponential expansion needed for inflation, and at small curvature the model gives almost constant density compatible with current observations of cosmological constant.
KeywordsModified gravity Dark energy Cosmological constant
This work was supported by Universidad del Valle under projects CI 7883 and CI 7890.