Dark energy and normalization of cosmological wave function in modified gravitations

Abstract

Based on Wheeler-DeWitt equation derived from general relativity, it had been found that only dark energy can lead to a normalizable cosmological wave function. It is shown in the present work that, for dRGT gravity, Eddington-inspired-Born-Infeld gravity and Ho$\check{\text{r}}$ava-Lifshitz gravity, the previous conclusion can also stand well in quantum cosmology induced from these modified gravities. This observation implies that there might be a universal relation between dark energy and normalizability of the cosmological wave function.

arXiv comment10 pages, no figure

References in corpus (8)

• Resummation of Massive Gravity
• Generalization of the Fierz-Pauli Action
• Quantum gravity without Lorentz invariance
• Phenomenologically viable Lorentz-violating quantum gravity
• Classical and quantum massive cosmology for the open FRW universe
• Hořava-Lifshitz Quantum Cosmology
• Towards the Quantization of Eddington-inspired-Born-Infeld Theory
• Dark Energy and Normalization of the Cosmological Wave Function

Cited by in corpus (1)

• Scalar perturbations of Eddington-inspired Born-Infeld braneworld