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Cosmology in the mimetic higher-curvature [Formula: see text] gravity.

2021/05/09 by Adam Z. Kaczmarek, Adam Zenon Kaczmarek, Dominik Szczęśniak
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Curvature #Galaxies: Formation, Evolution, Phenomena #Geometry #Mathematical physics #Particle physics #Physics #Planck #Quantum mechanics #Scalar curvature #Scalar field #Theoretical physics #gr-qc

paper · pdf · doi:10.1038/s41598-021-97907-y

12 pages, 2 figures

arxiv created 2021/05/09 · openalex publication_date 2021/09/15 · openalex created_date 2021/09/27 · arxiv updated 2021/11/18 · openalex updated_date 2026/08/01

Abstract

In the framework of the mimetic approach, we study the [Formula: see text] gravity with the Lagrange multiplier constraint and the scalar potential. We introduce field equations for the discussed theory and overview their properties. By using the general reconstruction scheme we obtain the power law cosmology model for the [Formula: see text] case as well as the model that describes symmetric bounce. Moreover, we reconstruct model, unifying both matter dominated and accelerated phases, where ordinary matter is neglected. Using inverted reconstruction scheme we recover specific [Formula: see text] function which give rise to the de-Sitter evolution. Finally, by employing the perfect fluid approach, we demonstrate that this model can realize inflation consistent with the bounds coming from the BICEP2/Keck array and the Planck data. We also discuss the holographic dark energy density in terms of the presented [Formula: see text] theory. Thus, it is suggested that the introduced extension of the mimetic regime may describe any given cosmological model.

Citations