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Viability of nonminimally coupled \(f\,(R)\) gravity

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Abstract

In this work we explore the viability of nonminimally coupled matter-curvature gravity theories, namely the conditions required for the absence of tachyon instabilities and ghost degrees of freedom. We contrast our finds with recent claims of a pathological behaviour of this class of models, which resorted to, in our view, an incorrect analogy with k-essence.

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Acknowledgments

The authors would like to thank F. S. N. Lobo for fruitful discussions, and the referee for his/her valuable remarks and criticism. The work of O.B. and J.P. was partially supported by FCT (Fundação para a Ciência e a Tecnologia, Portugal) under the Project PTDC/FIS/111362/2009.

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  1. Departamento de Física e Astronomia and Centro de Física do Porto, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal

    Orfeu Bertolami & Jorge Páramos

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  1. Orfeu Bertolami
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  2. Jorge Páramos
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Correspondence to Jorge Páramos.

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Bertolami, O., Páramos, J. Viability of nonminimally coupled \(f\,(R)\) gravity. Gen Relativ Gravit 48, 34 (2016). https://doi.org/10.1007/s10714-015-2002-5

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