Asymptotically Free Mimetic Gravity

Abstract

The idea of "asymptotically free" gravity is implemented using a constrained mimetic scalar field. The effective gravitational constant is assumed to vanish at some limiting curvature. As a result singularities in contracting spatially flat Friedmann and Kasner universes are avoided. The solutions in both cases approach de Sitter metric with a limiting curvature.We show that quantum metric fluctuations vanish when this limiting curvature is approached.

arXiv comment14 pages

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• Topological black holes in mimetic gravity
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• Dwarf Galaxies without Dark Matter: constraints on Modified Gravity
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Isotropic stellar model in mimetic theory
• Non-flat Universes and Black Holes in Asymptotically Free Mimetic Gravity
• Dimensional aspects of Lovelock-Lanczos gravity
• Supergravity with mimetic dark matter
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity
• Noether currents in theories with higher derivatives and theories with differential field transformation in action (DFTA)