Quantum Rainbow Cosmological Model With Perfect Fluid

Abstract

Isotropic quantum cosmological perfect fluid model is studied in the formalism of Rainbow gravity. It is found that the only surviving matter degree of freedom played the role of cosmic time. With the suitable choice of the Rainbow functions it is possible to find the wave packet naturally from the superposition of the wave functions of the Schr$\ddot{o}$dinger-Wheeler-deWitt equation. The many-worlds interpretation of quantum mechanics is applied to investigate the behavior of the scale factor and the behavior is found to depend on the operator ordering. It is shown that the model in the Rainbow framework may avoid singularity yielding a bouncing non-singular universe.

To appear in Int. J. Mod. Phys. D. arXiv admin note: substantial text overlap with arXiv:1305.3709

References in corpus (7)

• Entropy and temperature of black holes in a gravity's rainbow
• Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
• Rainbow universe
• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Effects of GUP in Quantum Cosmological Perfect Fluid Models
• The kinematics of particles moving in rainbow spacetime
• Quantum Scalar-metric Cosmology with Chaplygin gas

Cited by in corpus (14)

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• More on the initial singularity problem in gravity's rainbow cosmology
• Casimir Effect in the Rainbow Einstein's Universe
• Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
• Naked Singularities are not Singular in Distorted Gravity
• On the Stability of Einstein Static Universe in Doubly General Relativity Scenario
• Effects of gravity rainbow on scalar bosonic and oscillator fields in Bonnor-Melvin space-time with a cosmological constant
• Accelerating AdS black holes in gravity's rainbow
• Classical and quantum dynamics of a perfect fluid scalar-energy dependent metric cosmology
• Relativistic Bose-Einstein condensate in the rainbow gravity
• The Quantum State Of The Universe From Deformation Quantization and Classical-Quantum Correlation
• Classical and quantum cosmology of $f(R)$ gravity's rainbow in Schutz's formalism
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity