f ( R ) gravity without a cosmological constant

By A. D. L. Cruz-Dombriz, A. Dobado. 2006

187 citations recorded by the source corpus.

In this work we consider the possibility of describing the current evolution of the universe, without the introduction of any cosmological constant or dark energy (DE), by modifying the Einstein-Hilbert (EH) action. In the context of the $f(R)$ gravities within the metric formalism, we show that it is possible to find an action without cosmological constant which exactly reproduces the behavior of the EH action with cosmological constant. In addition the $f(R)$ action is analytical at the origin having Minkowski and Schwarzschild solutions as vacuum solutions. The found $f(R)$ action is highly nontrivial and must be written in terms of hypergeometric functions but, in spite of looking somewhat artificial, it shows that the cosmological constant, or more generally the DE, is not a logical necessity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a1cc1d46fd3725ae59fa0fdb3d406a0db5b8f765

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Citations in the corpus

Approaches to understanding cosmic acceleration (2009, methodology): “In other words, we may consider modifying GR in the low curvature regime, such as to admit self-accelerating solutions in the presence of negligible matter [126, 127, 128, 129, 130, 110, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145].”
Modified Gravity and Cosmology (2011, background): “Observations of these quantities allow the form of a(t) to be constrained, but due to the freedom in the choice of f(R) are not able to falsify the most general form of these theories directly [240, 929, 242, 376, 973, 496, 251, 980].”
f(R) Theories (2010, methodology): “There are some works that try to reconstruct the forms of f (R) by using some desired form for the evolution of the scale factor a(t) or the observational data of SN Ia [117, 130, 442, 191, 621, 252].”