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Self-tuning and the derivation of a class of scalar-tensor theories

Charmousis, Christos; Copeland, Edmund J.; Padilla, Antonio; Saffin, Paul M.


Christos Charmousis

Edmund J. Copeland

Antonio Padilla

Paul M. Saffin


We have recently proposed a special class of scalar tensor theories known as the Fab Four. These arose from attempts to analyse the cosmological constant problem within the context of Horndeski's most general scalar tensor theory. The Fab Four together give rise to a model of self-tuning, with the relevant solutions evading Weinberg's no-go theorem by relaxing the condition of Poincare invariance in the scalar sector. The Fab Four are made up of four geometric terms in the action with each term containing a free potential function of the scalar field. In this paper we rigorously derive this model from the general model of Horndeski, proving that the Fab Four represents the only classical scalar tensor theory of this type that has any hope of tackling the cosmological constant problem. We present the full equations of motion for this theory, and give an heuristic argument to suggest that one might be able to keep radiative corrections under control. We also give the Fab Four in terms of the potentials presented in Deffayet et al's version of Horndeski.

Journal Article Type Article
Publication Date May 24, 2012
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 85
Issue 10
Article Number 104040
Institution Citation Charmousis, C., Copeland, E. J., Padilla, A., & Saffin, P. M. (2012). Self-tuning and the derivation of a class of scalar-tensor theories. Physical Review D, 85(10), doi:10.1103/PhysRevD.85.104040
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Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information Self-tuning and the derivation of a class of scalar-tensor theories, Christos Charmousis, Edmund J. Copeland, Antonio Padilla, and Paul M. Saffin, Phys. Rev. D 85, 104040.


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