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On the Stability of a Class of Modified Gravitational Models

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Abstract

Motivated by the dark energy issue, a minisuperspace approach to the stability for modified gravitational models in a four dimensional cosmological setting is investigated. Specifically, after revisiting the f(R) case, R being the Ricci curvature, we present a stability condition around a de Sitter solution valid for modified gravitational models of generalized type F(R,G,Q), G and Q being the Gauss-Bonnet and quadratic Riemann invariants respectively. A generalization to higher order invariants is presented.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Trento, Trento, Italy

    Guido Cognola, Monica Gastaldi & Sergio Zerbini

  2. Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, Trento, Italy

    Guido Cognola, Monica Gastaldi & Sergio Zerbini

Authors
  1. Guido Cognola
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  2. Monica Gastaldi
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  3. Sergio Zerbini
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Correspondence to Guido Cognola.

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Cognola, G., Gastaldi, M. & Zerbini, S. On the Stability of a Class of Modified Gravitational Models. Int J Theor Phys 47, 898–910 (2008). https://doi.org/10.1007/s10773-007-9516-x

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