On the consistency of the Wheeler-deWitt equation in the quantized Eddington-inspired Born-Infeld gravity

Bouhmadi-López, Mariam; Chen, Che-Yu; Chen, Pisin

doi:10.1088/1475-7516/2018/12/032

On the consistency of the Wheeler-deWitt equation in the quantized Eddington-inspired Born-Infeld gravity

Journal Article · Wed Dec 19 00:00:00 EST 2018 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2018/12/032· OSTI ID:1493411

Bouhmadi-López, Mariam ^[1]; Chen, Che-Yu ^[2]; Chen, Pisin ^[3]

University of the Basque Country UPV/EHU, Bilbao (Spain); IKERBASQUE, Basque Foundation for Science, Bilbao (Spain)
National Taiwan Univ., Taipei (Taiwan)
National Taiwan Univ., Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States)

In this study, we re-examine the quantum geometrodynamical approach within the Eddington-inspired-Born-Infeld theory of gravity, which was first proposed in our previous work [1]. A thorough analysis of the classical Hamiltonian with constraints is carried and the correctness and self-consistency of the modified Wheeler deWitt equation (WDW) is studied. We find that based on the newly obtained WDW equation derived with the use of the Dirac brackets, the conclusion reached in ref. [2] can be corroborated. Lastly, the big rip singularity present in the classical theory, and induced by a phantom perfect fluid, is expected to be avoided when quantum effects encoded on the modified WDW equation are taken into account.

View Accepted Manuscript (DOE)

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1493411

Alternate ID(s):: OSTI ID: 22899355

Journal Information:: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 12 Vol. 2018; ISSN 1475-7516

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

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Ricci-Based Gravity theories and their impact on Maxwell and nonlinear electromagnetic models Delhom, Adria; Olmo, Gonzalo J.; Orazi, Emanuele Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/jhep11(2019)149	journal	November 2019
Phantom singularities and their quantum fate: general relativity and beyond—a CANTATA COST action topic Bouhmadi-López, Mariam; Kiefer, Claus; Martín-Moruno, Prado General Relativity and Gravitation, Vol. 51, Issue 10 https://doi.org/10.1007/s10714-019-2618-y	journal	October 2019
Classical and quantum fate of the little sibling of the big rip in f ( R ) cosmology Borislavov Vasilev, Teodor; Bouhmadi-López, Mariam; Martín-Moruno, Prado Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/physrevd.100.084016	journal	October 2019
Eddington-inspired-Born–Infeld tensorial instabilities neutralized in a quantum approach Albarran, Imanol; Bouhmadi-López, Mariam; Chen, Che-Yu The European Physical Journal C, Vol. 80, Issue 1 https://doi.org/10.1140/epjc/s10052-019-7598-2	journal	January 2020
Eddington-inspired-Born-Infeld tensorial instabilities neutralized in a quantum approach Albarran, Imanol; Bouhmadi-López, Mariam; Chen, Che-Yu arXiv https://doi.org/10.48550/arxiv.1911.03935	text	January 2019

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