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Chaplygin Gas Hořava-Lifshitz Quantum Cosmology

In this paper, we study the Chaplygin gas Hořava-Lifshitz quantum cosmology. Using Schutz formalism and Arnowitt-Deser-Misner decomposition, we obtain the corresponding Schrödinger-Wheeler-DeWitt equation. We obtain exact classical and quantum mechanical solutions and construct wave packets to study the time evolution of the expectation value of the scale factor for two cases. We show that unlike classical solutions and upon choosing appropriate initial conditions, the expectation value of the scale factor never tends to the singular point which exhibits the singularity-free behavior of the solutions in the quantum domain.

preprint2016arXivOpen access
Hossein ArdehaliPouria Pedram
gr-qchep-thquant-ph
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Hossein ArdehaliPouria Pedram

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