Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology

Abstract

In classical general relativity, the generic approach to the initial singularity is usually understood in terms of the BKL scenario. In this scenario, along with the Bianchi IX model, the exact, singular, Kasner solution of vacuum Bianchi I model also plays a pivotal role. Using an effective classical Hamiltonian obtained from loop quantization of vacuum Bianchi I model, exact solution is obtained which is non-singular due to a discreteness parameter. The solution is parameterized in exactly the same manner as the usual Kasner solution and reduces to the Kasner solution as discreteness parameter is taken to zero. At the effective Hamiltonian level, the avoidance of Kasner singularity uses a mechanism distinct from the `inverse volume' modifications characteristic of loop quantum cosmology.

4 pages, revtex4, no figures

References in corpus (8)

• Genericness of Big Bounce in isotropic loop quantum cosmology
• The Bianchi IX model in Loop Quantum Cosmology
• Quantum suppression of the generic chaotic behavior close to cosmological singularities
• Genericness of inflation in isotropic loop quantum cosmology
• Discreteness Corrections to the Effective Hamiltonian of Isotropic Loop Quantum Cosmology
• Primordial Density Perturbation in Effective Loop Quantum Cosmology
• The nature of spacetime singularities
• Effective Hamiltonian for Isotropic Loop Quantum Cosmology

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