Logarithmic gravity model

Author:

Kruglov S. I.12ORCID

Affiliation:

1. Department of Physics, University of Toronto, 60 St. Georges St., Toronto, ON M5S 1A7, Canada

2. Canadian Quantum Research Center, 204-3002 32 Ave Vernon, BC V1T 2L7, Canada

Abstract

In this paper, the modified [Formula: see text] gravity theory with the function [Formula: see text] is studied. The action at small coupling [Formula: see text] becomes Einstein–Hilbert action. The bound on the parameter [Formula: see text] from local tests is [Formula: see text] cm2. We find the constant curvature solutions and it was shown that the de Sitter space is unstable but a solution with zero Ricci scalar is stable. The potential and the mass of the scalar field (scalaron) are obtained in Einstein’s frame. The slow-roll cosmological parameters are studied and e-folds number is evaluated. The critical points of autonomous equations are analyzed. The function [Formula: see text] that describes the deviation from the [Formula: see text]CDM model is calculated.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

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