More on the initial singularity problem in gravity’s rainbow cosmology

2016/02/29 by M. Khodadi, K. Nozari, H. R. Sepangi · 1 citation
Physics and Astronomy · #Big Rip #Black Holes and Theoretical Physics #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Initial singularity #Minisuperspace #Noncommutative and Quantum Gravity Theories #Particle horizon #Quantum cosmology #Scale factor (cosmology) #Universe #gr-qc #hep-th

paper · pdf · doi:10.1007/s10714-016-2160-0

published as Gen. Rel. Grav. 48 (2016) 166 · 19 pages, 4 figures

arxiv created 2016/11/07 · openalex publication_date 2016/11/22 · openalex created_date 2016/11/30 · arxiv updated 2016/12/07 · openalex updated_date 2026/08/05

Abstract

Using a one-dimensional minisuperspace model with a dimensionless ratio \fracEE_Pl, we study the initial singularity problem at the quantum level for the closed rainbow cosmology with a homogeneous, isotropic classical space-time background. We derive the classical Hamiltonian within the framework of Schutz's formalism for an ideal fluid with a cosmological constant. We characterize the behavior of the system at the early stages of the universe evolution through analyzing the relevant shapes for the potential sector of the classical Hamiltonian for various matter sources, each separately modified by two rainbow functions. We show that for both rainbow universe models presented here, there is the possibility of eliminating the initial singularity by forming a potential barrier and static universe for a non-zero value of the scale factor. We investigate their quantum stability and show that for an energy-dependent space-time geometry with energies comparable with the Planck energy, the non-zero value of the scale factor may be stable. It is shown that under certain constraints the rainbow universe model filled with an exotic matter as a domain wall fluid plus a cosmological constant can result in a non-singular harmonic universe. In addition, we demonstrate that the harmonically oscillating universe with respect to the scale factor is sensitive to \fracEE_Pl and that at high energies it may become stable quantum mechanically. Through a Schrödinger-Wheeler-De Witt (SWD) equation obtained from the quantization of the classical Hamiltonian, we also extract the wave packet of the universe with a focus on the early stages of the evolution.

Citations

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• Energy-dependent topological anti-de Sitter black holes in Gauss–Bonnet Born–Infeld gravity