Effective Scenario of Loop Quantum Cosmology

Details Effective Scenario of Loop Quantum Cosmology Effective Scenario of Loop Quantum Cosmology

2008-08-07

arxiv.org/abs/0808.0990v2

Phys.Rev.Lett.102:051301,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 2 figures; version published in PRL

Scientific paper

10.1103/PhysRevLett.102.051301

Semiclassical states in isotropic loop quantum cosmology are employed to show that the improved dynamics has the correct classical limit. The effective Hamiltonian for the quantum cosmological model with a massless scalar field is thus obtained, which incorporates also the next to leading order quantum corrections. The possibility that the higher order correction terms may lead to significant departure from the leading order effective scenario is revealed. If the semiclassicality of the model is maintained in the large scale limit, there are great possibilities for $k=0$ Friedmann expanding universe to undergo a collapse in the future due to the quantum gravity effect. Thus the quantum bounce and collapse may contribute a cyclic universe in the new scenario.

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