Exponential Gravity
arXiv:0905.2962 · doi:10.1103/PhysRevD.80.123528
Abstract
We investigate a f(R) modification of gravity that is exponential in the Ricci scalar R to explain cosmic acceleration. The steepness of this dependence provides extra freedom to satisfy solar system and other curvature regime constraints. With a parameter to alleviate the usual fine tuning of having the modification strengthen near the present, the total number of parameters is only one more than LCDM. The resulting class of solutions asymptotes to w=-1 but has no cosmological constant. We calculate the dynamics in detail, examine the effect on the matter power spectrum, and provide a simple fitting form relating the two.
6 pages, 6 figures; v2 rephrased, reordered, matches PRD accepted version
References in corpus (6)
- Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
- Class of viable modified gravities describing inflation and the onset of accelerated expansion
- The Large Scale Structure of f(R) Gravity
- Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
- Solar System constraints to general f(R) gravity
- Non-linear evolution of f(R) cosmologies II: power spectrum
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