Quantum cosmology of Eddington-Born–Infeld gravity fed by a scalar field: The big rip case

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

doi:10.1016/j.dark.2018.100255

Title: Quantum cosmology of Eddington-Born–Infeld gravity fed by a scalar field: The big rip case

Journal Article · Fri Dec 21 00:00:00 EST 2018 · Physics of the Dark Universe

DOI:https://doi.org/10.1016/j.dark.2018.100255· OSTI ID:1507155

Albarran, Imanol ^[1]; Bouhmadi-López, Mariam ^[2]; Chen, Che -Yu ^[3]; Chen, Pisin ^[4]

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)

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.

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: IT956-16; FIS2017-85076-P; NSC 97-2112-M-002-026-MY3; AC02-76SF00515

OSTI ID:: 1507155

Alternate ID(s):: OSTI ID: 1637177

Journal Information:: Physics of the Dark Universe, Vol. 23, Issue C; ISSN 2212-6864

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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