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Cosmology, Quantum Vacuum and Zeta Functions pp 117–125Cite as

Brane Cosmology with an f (R) contribution

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Part of the Springer Proceedings in Physics book series (SPPHY,volume 137)

Abstract

A generalised induced gravity brane-world model is proposed. The brane action contains an arbitrary f (R) term, R being the scalar curvature of the brane while the brane is 5-dimensional and is described by a Hilbert-Einstein action. It can be shown that the effect of the f (R) term on the dynamics of a homogeneous and isotropic brane is twofold: (i) an evolving induced gravity parameter and (ii) a shift on the energy density of the brane. This new shift term, which is absent on the Dvali, Gabadadze and Porrati (DGP) model, plays a crucial role to self-accelerate the generalised normal DGP branch of our model. The stability of de Sitter solutions is analysed under homogeneous perturbations. These results are compared with the standard 4-dimensional one.

Keywords

  • Scalar Curvature
  • Energy Momentum Tensor
  • Friedmann Equation
  • Dark Radiation
  • Normal Branch

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  1. Centro Multidisciplinar de Astrofísica - CENTRA, Departamento de Física, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal

    Mariam Bouhmadi-López

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  1. Mariam Bouhmadi-López
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Correspondence to Mariam Bouhmadi-López .

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Editors and Affiliations

  1. , Facultat de Ciències, Institut de Ciències de l’Espai (IEEC-CS, Barcelona, 08193, Spain

    Sergey D. Odintsov

  2. , Facultat de Ciències, Institut de Ciències de l'Espai ICE-CSIC, Barcelona, 08193, Spain

    Diego Sáez-Gómez

  3. Universitat Politècnica de Catalunya, Jordi Girona 1-3, Barcelona, 08034, Spain

    Sebastian Xambó-Descamps

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Bouhmadi-López, M. (2011). Brane Cosmology with an f (R) contribution. In: Odintsov, S., Sáez-Gómez, D., Xambó-Descamps, S. (eds) Cosmology, Quantum Vacuum and Zeta Functions. Springer Proceedings in Physics, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19760-4_10

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  • DOI: https://doi.org/10.1007/978-3-642-19760-4_10

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