On the Consistency of the Wheeler-DeWitt Equation in the Quantized Eddington-inspired Born-Infeld Gravity

Abstract

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.[1] can be corroborated. 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.

14 pages

References in corpus (5)

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• Worse than a big rip?
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Cited by in corpus (8)

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• The little rip in classical and quantum $f(R)$ cosmology
• Classical and quantum $f(R)$ cosmology: The big rip, the little rip and the little sibling of the big rip
• Eddington-inspired-Born-Infeld tensorial instabilities neutralized in a quantum approach
• Quantum relativistic cosmology: dynamical interpretation and tunneling universe