2014/07/31 by Mariam Bouhmadi-López, Mariam Bouhmadi-Lopez, Che-Yu Chen +1
Mathematics · Physics and Astronomy · #Big Bang (financial markets) #Big Bounce #Big Crunch #Big Rip #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter universe #Divergence (linguistics) #Galaxies: Formation, Evolution, Phenomena #Gravitational singularity #Hubble's law #Initial singularity #Mathematical analysis #Mathematical physics #Mathematics #Metric expansion of space #Philosophy #Physical cosmology #Physics #Quantum mechanics #Singularity #Steady State theory #Theoretical physics #Ultimate fate of the universe #Universe #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.90.123518
published as Phys. Rev. D 90, 123518 (2014) · 6 pages, 2 figures, RevTex4-1. A minor change. Version accepted in PRD
arxiv created 2014/11/18 · openalex publication_date 2014/12/16 · arxiv updated 2014/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Born-Infeld determinantal gravity has been recently proposed as a way to smooth the big bang singularity. This theory is formulated on the Weitzenb"ock space-time and the teleparallel representation is used instead of the standard Riemannian representation. We find that although this theory is shown to be singularity free for a certain region of the parameter space in which the divergence of the Hubble rate in the high-energy regime is substituted by a de Sitter stage or a bounce in a Friedmann-Lema\\itre-Robertson-Walker universe, cosmological singularities---such as a big rip, big bang, big freeze, and sudden singularities---can emerge in other regions of the configuration space of the theory. We also show that all these singular events exist even though the universe is filled with a perfect fluid with a constant equation of state.