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Unimodular F(R) gravity S. Nojiri, S. D. Odintsov, V. K. Oikonomou

By: Nojiri, SContributor(s): Odintsov, Sergey Dmitrievich | Oikonomou, V. KMaterial type: ArticleArticleSubject(s): унимодулярная гравитация | модифицированная гравитация | космологические сценарии | инфляция (космология)Genre/Form: статьи в журналах Online resources: Click here to access online In: Journal of cosmology and astroparticle physics № 5. P. 046 (1-24)Abstract: We extend the formalism of the Einstein-Hilbert unimodular gravity in the context of modified F(R) gravity. After appropriately modifying the Friedmann-Robertson-Walker metric in a way that it becomes compatible to the unimodular condition of having a constant metric determinant, we derive the equations of motion of the unimodular F(R) gravity by using the metric formalism of modified gravity with Lagrange multiplier constraint. The resulting equations are studied in frames of reconstruction method, which enables us to realize various cosmological scenarios, which was impossible to realize in the standard Einstein-Hilbert unimodular gravity. Several unimodular F(R) inflationary scenarios are presented, and in some cases, concordance with Planck and BICEP2 observational data can be achieved.
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Библиогр.: 108 назв.

We extend the formalism of the Einstein-Hilbert unimodular gravity in the context of modified F(R) gravity. After appropriately modifying the Friedmann-Robertson-Walker metric in a way that it becomes compatible to the unimodular condition of having a constant metric determinant, we derive the equations of motion of the unimodular F(R) gravity by using the metric formalism of modified gravity with Lagrange multiplier constraint. The resulting equations are studied in frames of reconstruction method, which enables us to realize various cosmological scenarios, which was impossible to realize in the standard Einstein-Hilbert unimodular gravity. Several unimodular F(R) inflationary scenarios are presented, and in some cases, concordance with Planck and BICEP2 observational data can be achieved.

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