Classical and quantum dynamics of a perfect fluid scalar-energy dependent metric cosmology
arXiv:1604.03036 · doi:10.1007/s10714-016-2059-9
Abstract
Inspired from the idea of minimally coupling of a real scalar field to geometry, we investigate the classical and quantum models of a flat energy-dependent FRW cosmology coupled to a perfect fluid in the framework of the scalar-rainbow metric gravity. We use the standard Schutz' representation for the perfect fluid and show that under a particular energy-dependent gauge fixing, it may lead to the identification of a time parameter for the corresponding dynamical system. It is shown that, under some circumstances on the minisuperspace prob energy, the classical evolution of the of the universe represents a late time expansion coming from a bounce instead of the big-bang singularity. Then we go forward by showing that this formalism gives rise to a Schrödinger-Wheeler-DeWitt (SWD) equation for the quantum-mechanical description of the model under consideration, the eigenfunctions of which can be used to construct the wave function of the universe. We use the resulting wave function in order to investigate the possibility of the avoidance of classical singularities due to quantum effects by means of the many-worlds and Bohmian interpretation of quantum cosmology.
arXiv comment18 pages, 10 figures. arXiv admin note: text overlap with arXiv:1004.0306
References in corpus (30)
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- High-Energy Tests of Lorentz Invariance
- Testable scenario for Relativity with minimum-length
- Generalized Lorentz invariance with an invariant energy scale
- Gravity's Rainbow
- Ultraviolet modifications of dispersion relations in effective field theory
- Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV- paradoxes
- Introduction to Doubly Special Relativity
- TeV Astrophysics Constraints on Planck Scale Lorentz Violation
- Quantum cosmological perfect fluid models
- Remnant for all Black Objects due to Gravity's Rainbow
- Nonsingular Rainbow Universes
- Phenomenology of Doubly Special Relativity
- Black Hole Remnant from Gravity's Rainbow
- Black Holes in Gauss-Bonnet Gravity's Rainbow
- Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
- Rainbow universe
- Thermodynamic instability of nonlinearly charged black holes in gravity's rainbow
- Rainbow gravity and scale-invariant fluctuations
- Classical and quantum dynamics of a perfect fluid scalar-metric cosmology
- The Big Bounce in Rainbow Universe
- Asymptotic Flatness in Rainbow Gravity
- Thermodynamic phase transition in the rainbow Schwarzschild black hole
- Distorting General Relativity: Gravity's Rainbow and f(R) theories at work
- Intermediate inflation from rainbow gravity
- Troubles with quantum anistropic cosmological models: Loss of unitarity
- On the Stability of Einstein Static Universe in Doubly General Relativity Scenario
- Quantum Rainbow Cosmological Model With Perfect Fluid
- Fixed points and FLRW cosmologies: Flat case
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- Deformed Starobinsky model in gravity's rainbow
- Cosmic string in gravity's rainbow
- Inflation from theories in gravity's rainbow
- Imperfect fluid cosmological model in modified gravity
- Non-singular model universe from a perfect fluid scalar-metric cosmology
- Anisotropic n-dimensional quantum cosmological model with fluid
- Observational Constraints on Asymptotic Safety Inflation in Gravity Rainbow