https://doi.org/10.1140/epjc/s10052-019-7075-y
Regular Article - Theoretical Physics
Asymptotically free mimetic gravity
1
Physics Department, American University of Beirut, Beirut, Lebanon
2
Institute for Mathematics, Astrophysics and Particle Physics, Radboud University Nijmegen, Heyendaalseweg 135, 6525 AJ, Nijmegen, The Netherlands
3
Theoretical Physics, Ludwig Maxmillians University, Theresienstr. 37, 80333, Munich, Germany
4
MPI for Physics, Foehringer Ring, 6, 80850, Munich, Germany
5
School of Physics, Korea Institute for Advanced Study, Seoul, 02455, Korea
* e-mail: Viatcheslav.Mukhanov@physik.uni-muenchen.de
Received:
7
June
2019
Accepted:
25
June
2019
Published online:
3
July
2019
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.
© The Author(s), 2019
