Rainbow universe

Abstract

The formalism of rainbow gravity is studied in a cosmological setting. We consider the very early universe which is radiation dominated. A novel treatment in our paper is to look for an ``averaged'' cosmological metric probed by radiation particles themselves. Taking their cosmological evolution into account, we derive the modified Friedmann-Robertson-Walker(FRW) equations which is a generalization of the solution presented by Magueijo and Smolin. Based on this phenomenological cosmological model we argue that the spacetime curvature has an upper bound such that the cosmological singularity is absent. These modified $FRW$ equations can be treated as effective equations in the semi-classical framework of quantum gravity and its analogy with the one recently proposed in loop quantum cosmology is also discussed.

5 pages

References in corpus (30)

• Lorentz-Violating Extension of the Standard Model
• 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
• Quantum Nature of the Big Bang
• The Generalized Uncertainty Principle and Black Hole Remnants
• Testable scenario for Relativity with minimum-length
• Generalized Lorentz invariance with an invariant energy scale
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• 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-$\gamma$ paradoxes
• Bouncing Braneworlds
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• TeV Astrophysics Constraints on Planck Scale Lorentz Violation
• Black Hole Remnants and Dark Matter
• New limits on Planck scale Lorentz violation in QED
• Quantum gravity with a positive cosmological constant
• Phenomenology of Doubly Special Relativity
• Falsifiable predictions from semiclassical quantum gravity
• Modified dispersion relations and black hole physics
• Entropy and temperature of black holes in a gravity's rainbow
• Quantum Time Uncertainty in a Gravity's Rainbow Formalism
• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Asymptotic Flatness in Rainbow Gravity
• Deformed Special Relativity as an effective theory of measurements on quantum gravitational backgrounds
• Length Uncertainty in a Gravity's Rainbow Formalism
• The kinematics of particles moving in rainbow spacetime
• Quantum mechanics forbids an initial or final singularity in a closed FRW universe

Cited by in corpus (52)

• The General Very Special Relativity in Finsler Cosmology
• Nonsingular Rainbow Universes
• Black Hole Remnant from Gravity's Rainbow
• Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
• Modified (A)dS Schwarzschild black holes in Rainbow spacetime
• Nonsingular universe in massive gravity's rainbow
• Expansion of magnetic neutron stars in an energy (in)dependent spacetime
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• The Big Bounce in Rainbow Universe
• Thermodynamic phase transition in the rainbow Schwarzschild black hole
• Branes in Gravity's Rainbow
• Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
• Self-sustained wormholes in modified dispersion relations
• Black Hole Complementarity in Gravity's Rainbow
• Starobinsky Model in Rainbow Gravity
• On the initial singularity problem in rainbow cosmology
• Casimir Effect in the Rainbow Einstein's Universe
• Bouncing universe in a heat bath
• Deformed Starobinsky model in gravity's rainbow
• On the Stability of Einstein Static Universe in Doubly General Relativity Scenario
• Electric Charges and Magnetic Monopoles in Gravity's Rainbow
• Quantum Rainbow Cosmological Model With Perfect Fluid
• The kinematics of particles moving in rainbow spacetime
• Accelerating AdS black holes in gravity's rainbow
• Thermodynamics and Luminosities of Rainbow Black Holes
• Cosmic string in gravity's rainbow
• Noether symmetries and duality transformations in cosmology
• Inflation from $f(R)$ theories in gravity's rainbow
• Energy Scale of Lorentz Violation in Rainbow Gravity
• Hawking, Fiducial, and Free-fall Temperatures of Black Hole on Gravity's Rainbow
• Rainbows without unicorns: Metric structures in theories with Modified Dispersion Relations
• Three dimensional dilatonic gravity's rainbow: exact solutions
• Classical and quantum dynamics of a perfect fluid scalar-energy dependent metric cosmology
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• Bouncing universe from a modified dispersion relation
• Black hole complementarity with the generalized uncertainty principle in gravity's rainbow
• Bouncing universe with modified dispersion relation
• Revisiting $f(R)$ gravity's rainbow: Inflation and primordial fluctuations
• Local free-fall Temperature of modified Schwarzschild black hole in rainbow spacetime
• Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity
• Test of the Einstein equivalence principle with spectral distortions in the cosmic microwave background
• Free-fall Rainbow BTZ Black Hole
• Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions
• A Special Lorentz Violation Model and a Special Rainbow Function
• Thermodynamics of black holes in rainbow gravity
• General Modified Friedmann Equations in Rainbow Flat Universe, by Thermodynamics
• Conformal transformation route to gravity's rainbow
• Gravitational baryogenesis in $F(R)$ gravity's rainbow
• The Varying Speed of Light in Eddington-inspired Born-Infield Gravity with Rainbow Metric
• Observational Constraints on Asymptotic Safety Inflation in Gravity Rainbow
• Superluminal modes in a quantum field simulator for cosmology from analog trans-Planckian physics
• Nearly scale-invariant power spectrum and quantum cosmological perturbations in the gravity's rainbow scenario