The Mimetic Born-Infeld Gravity: The Primordial Cosmos and Spherically Symmetric Solutions
Che-Yu Chen, Mariam Bouhmadi-López, Pisin Chen 2017 Galaxies 2017 5(4) 87The Eddington-inspired-Born-Infeld (EiBI) model is reformulated within the mimetic approach. In the presence of a mimetic field, the model contains non-trivial vacuum solutions. We study a realistic primordial vacuum universe and we prove the existence of regular solutions. Besides, the linear instabilities in the EiBI model are found to be avoidable for some bouncing solutions. For a vacuum, static and spherically symmetric geometry, a new branch of solutions in which the black hole singularity that is replaced with a lightlike singularity is found.