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Chamseddine, Ali H.; Mukhanov, Viatcheslav and Russ, Tobias B. (2019): Asymptotically free mimetic gravity. In: European Physical Journal C, Vol. 79, No. 7, 558

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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 spatially flat Friedmann and Kasner universes are avoided. Instead, the solutions in both cases approach a de Sitter metric with limiting curvature. We show that quantum metric fluctuations vanish when this limiting curvature is approached.

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