Are modified gravity models free of ghosts?

Physics

Scientific paper

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Scientific paper

Recently, attention has been given to modified gravity models, as they may represent alternatives to quintessence models for an explanation to today's acceleration of the universe. We review the main results developed in De Felice, Hindmarsh and Trodden (2006 J. Cosmol. Astropart. Phys. JCAP08(2006)005 (Preprint astro-ph/0604154)) and Calcagni, de Carlos and De Felice (2006 Nucl. Phys. B (Preprint hep-th/0604201)), where we showed that those theories that involve a coupling between a scalar field with the Gauss Bonnet curvature combination, in general possess both ghosts degrees of freedom and classical instabilities. We believe these constraints put severe bounds on these types of modifications of gravity. We add a critical assessment of the present understanding of these bounds.

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