Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds

Abstract

The discrete quantum geometric effects play an important role in dynamical evolution in the loop quantum cosmology. These effects which are significant at the high energies lead to the quadratic energy density modifications to the Friedmann equation, as in the Randall-Sundrum braneworld scenarios but with a negative sign. We investigate the scalar field dynamics in this scenario and show the existence of a phase of super-inflation independent of the inverse scale factor modifications as found earlier. In this regime the scalar field mimics the dynamics of a phantom field and vice versa. We also find various symmetries between the expanding phase, the contracting phase and the phantom phase in the loop quantum cosmology. We then construct the scaling solutions in the loop quantum cosmology and show their dual relationship with those of the Randall-Sundrum cosmology.

Revtex4, 9 pages

References in corpus (7)

• Quantum Nature of the Big Bang
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• A black hole mass threshold from non-singular quantum gravitational collapse
• Loop Quantum Gravity and the Cyclic Universe
• Qualitative Approach to Semi-Classical Loop Quantum Cosmology
• Cosmological Scaling Solutions and Cross-coupling Exponential Potential
• Patch dualities and remarks on nonstandard cosmologies

Cited by in corpus (30)

• Quantum Nature of the Big Bang: Improved dynamics
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Avoidance of future singularities in loop quantum cosmology
• Cosmic Duality in Quintom Universe
• Quantum field theory on a cosmological, quantum space-time
• Loop quantum cosmology and inhomogeneities
• Dynamics of interacting dark energy model in Einstein and Loop Quantum Cosmology
• Entropy-Corrected Holographic Dark Energy
• Phantom field dynamics in loop quantum cosmology
• Consistent Loop Quantum Cosmology
• Quantum nature of cosmological bounces
• Super-inflation in Loop Quantum Cosmology
• Dynamics of interacting phantom scalar field dark energy in Loop Quantum Cosmology
• Inflationary universe in loop quantum cosmology
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
• How quantum is the big bang?
• Effective equations for isotropic quantum cosmology including matter
• Type I singularities and the Phantom Menace
• The Dark Side of a Patchwork Universe
• Inflationary scalar spectrum in loop quantum cosmology
• Covariant Effective Action for Loop Quantum Cosmology from Order Reduction
• Tachyon field in Loop Quantum Cosmology: inflation and evolution picture
• Exact solutions in bouncing cosmology
• Tachyon Matter in Loop Quantum Cosmology
• Testing and selection of cosmological models with $(1+z{)}^6$ corrections
• Chaplygin inflation in loop quantum cosmology
• Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
• Deformed spaces and loop cosmology
• Isotropization in the approach to big rip singularities for Cardassian models