Cosmological singularities in Born-Infeld determinantal gravity

Mariam Bouhmadi-López, Che-Yu Chen, and Pisin Chen
Phys. Rev. D 90, 123518 – Published 16 December 2014

Abstract

The Born-Infeld determinantal gravity has been recently proposed as a way to smooth the big bang singularity. This theory is formulated on the Weitzenböck 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-Lemaître-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.

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  • Received 29 July 2014

DOI:https://doi.org/10.1103/PhysRevD.90.123518

© 2014 American Physical Society

Authors & Affiliations

Mariam Bouhmadi-López1,2,3,4,*, Che-Yu Chen5,7,†, and Pisin Chen5,6,7,8,‡

  • 1Departamento de Física, Universidade da Beira Interior, 6200 Covilhã, Portugal
  • 2Centro de Matemática e Aplicações da Universidade da Beira Interior (CMA-UBI), 6200-001 Covilhã, Portugal
  • 3Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain
  • 4IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
  • 5Department of Physics, National Taiwan University, 10617 Taipei, Taiwan
  • 6LeCosPA, National Taiwan University, 10617 Taipei, Taiwan
  • 7Graduate Institute of Astrophysics, National Taiwan University, 10617 Taipei, Taiwan
  • 8Kavli Institute for Particle Astrophysics and Cosmology, SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94305, USA

  • *On leave of absence from UPV and IKERBASQUE. mariam.bouhmadi@ehu.es
  • b97202056@ntu.edu.tw
  • pisinchen@phys.ntu.edu.tw

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Vol. 90, Iss. 12 — 15 December 2014

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