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Open AccessFeature PaperConference Report

The Mimetic Born-Infeld Gravity: The Primordial Cosmos and Spherically Symmetric Solutions

1
Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan
2
LeCosPA, National Taiwan University, Taipei 10617, Taiwan
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Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain
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IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
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Kavli Institute for Particle Astrophysics and Cosmology, SLAC National Accelerator Laboratory, Stanford University, Stanford, CA 94305, USA
*
Author to whom correspondence should be addressed.
Galaxies 2017, 5(4), 87; https://doi.org/10.3390/galaxies5040087
Received: 31 October 2017 / Revised: 14 November 2017 / Accepted: 15 November 2017 / Published: 27 November 2017
(This article belongs to the Special Issue Cosmology and the Quantum Vacuum)
The 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. View Full-Text
Keywords: modified theories of gravity; spacetime singularities; early universe; black holes modified theories of gravity; spacetime singularities; early universe; black holes
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MDPI and ACS Style

Chen, C.-Y.; Bouhmadi-López, M.; Chen, P. The Mimetic Born-Infeld Gravity: The Primordial Cosmos and Spherically Symmetric Solutions. Galaxies 2017, 5, 87.

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