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

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

2005-04-30

arxiv.org/abs/gr-qc/0505002v1

Phys.Rev. D71 (2005) 127502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, revtex4, no figures

Scientific paper

10.1103/PhysRevD.71.127502

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.

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