Quantum cosmology of Eddington-Born–Infeld gravity fed by a scalar field: The big rip case
Abstract
We study the quantum avoidance of the big rip singularity in the Eddington-inspired-Born–Infeld (EiBI) phantom model. Instead of considering a simple phantom dark energy component, which is described by a perfect fluid, we consider a more fundamental degree of freedom corresponding to a phantom scalar field with its corresponding potential, which would lead the classical universe to a big rip singularity. We apply a quantum geometrodynamical approach by performing an appropriate Hamiltonian study including an analysis of the constraints of the system. We then derive the Wheeler–DeWitt (WDW) equation and see whether the solutions to the WDW equation satisfy the DeWitt boundary condition. We find that by using a suitable Born–Oppenheimer (BO) approximation, whose validity is proven, the DeWitt condition is satisfied. Furthermore, the big rip singularity is expected to be avoided in the quantum realm.
- Authors:
-
- Univ. da Beira Interior, Covilha (Portugal)
- Univ. da Beira Interior, Covilha (Portugal); Univ. 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); Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1507155
- Alternate Identifier(s):
- OSTI ID: 1637177
- Grant/Contract Number:
- IT956-16; FIS2017-85076-P; NSC 97-2112-M-002-026-MY3; AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of the Dark Universe
- Additional Journal Information:
- Journal Volume: 23; Journal Issue: C; Journal ID: ISSN 2212-6864
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Albarran, Imanol, Bouhmadi-López, Mariam, Chen, Che -Yu, and Chen, Pisin. Quantum cosmology of Eddington-Born–Infeld gravity fed by a scalar field: The big rip case. United States: N. p., 2018.
Web. doi:10.1016/j.dark.2018.100255.
Albarran, Imanol, Bouhmadi-López, Mariam, Chen, Che -Yu, & Chen, Pisin. Quantum cosmology of Eddington-Born–Infeld gravity fed by a scalar field: The big rip case. United States. https://doi.org/10.1016/j.dark.2018.100255
Albarran, Imanol, Bouhmadi-López, Mariam, Chen, Che -Yu, and Chen, Pisin. Fri .
"Quantum cosmology of Eddington-Born–Infeld gravity fed by a scalar field: The big rip case". United States. https://doi.org/10.1016/j.dark.2018.100255. https://www.osti.gov/servlets/purl/1507155.
@article{osti_1507155,
title = {Quantum cosmology of Eddington-Born–Infeld gravity fed by a scalar field: The big rip case},
author = {Albarran, Imanol and Bouhmadi-López, Mariam and Chen, Che -Yu and Chen, Pisin},
abstractNote = {We study the quantum avoidance of the big rip singularity in the Eddington-inspired-Born–Infeld (EiBI) phantom model. Instead of considering a simple phantom dark energy component, which is described by a perfect fluid, we consider a more fundamental degree of freedom corresponding to a phantom scalar field with its corresponding potential, which would lead the classical universe to a big rip singularity. We apply a quantum geometrodynamical approach by performing an appropriate Hamiltonian study including an analysis of the constraints of the system. We then derive the Wheeler–DeWitt (WDW) equation and see whether the solutions to the WDW equation satisfy the DeWitt boundary condition. We find that by using a suitable Born–Oppenheimer (BO) approximation, whose validity is proven, the DeWitt condition is satisfied. Furthermore, the big rip singularity is expected to be avoided in the quantum realm.},
doi = {10.1016/j.dark.2018.100255},
journal = {Physics of the Dark Universe},
number = C,
volume = 23,
place = {United States},
year = {Fri Dec 21 00:00:00 EST 2018},
month = {Fri Dec 21 00:00:00 EST 2018}
}
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Works referencing / citing this record:
Phantom singularities and their quantum fate: general relativity and beyond—a CANTATA COST action topic
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