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Avoiding Dark Energy with 1/R Modifications of Gravity

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The Invisible Universe: Dark Matter and Dark Energy

Part of the book series: Lecture Notes in Physics ((LNP,volume 720))

Abstract

Scalar quintessence seems epicyclic because one can choose the potential to reproduce any cosmology (I review the construction) and because the properties of this scalar seem to raise more questions than they answer. This is why there has been so much recent interest in modified gravity. I review the powerful theorem of Ostrogradski which demonstrates that the only potentially stable, local modification of general relativity is to make the Lagrangian an arbitrary function of the Ricci scalar. Such a theory can certainly reproduce the current phase of cosmic acceleration without Dark Energy. However, this explanation again seems epicyclic in that one can construct a function of the Ricci scalar to support any cosmology (I give the technique). Models of this form are also liable to problems in the way they couple to matter, both in terms of matter’s impact upon them and in terms of the long range gravitational force they predict. Because of these problems my own preference for avoiding Dark Energy is to bypass Ostrogradski’s theorem by considering the fully nonlocal effective action built up by quantum gravitational processes during the epoch of primordial inflation.

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Authors and Affiliations

  1. Department of Physics, University of Florida, Gainesville, FL 32611-8440, USA

    Richard Woodard

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  1. Richard Woodard
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Editors and Affiliations

  1. Department of Physics, National Technical University of Athens, Zografou Campus, 157 80 Athens, Greece

    Lefteris Papantonopoulos

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Woodard, R. (2007). Avoiding Dark Energy with 1/R Modifications of Gravity. In: Papantonopoulos, L. (eds) The Invisible Universe: Dark Matter and Dark Energy. Lecture Notes in Physics, vol 720. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71013-4_14

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