Dilaton cosmology and the Modified Uncertainty Principle

Details Dilaton cosmology and the Modified Uncertainty Principle Dilaton cosmology and the Modified Uncertainty Principle

2011-06-22

arxiv.org/abs/1106.4494v2

Phys. Rev. D 84, 064031 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 6 figures, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.84.064031

Very recently Ali et al.(2009) proposed a new generalized uncertainty principle (or GUP) with a linear term in Plank length which is consistent with doubly special relativity and string theory. The classical and quantum effects of this generalized uncertainty principle (term as modified uncertainty principle or MUP) are investigated on the phase space of a dilatonic cosmological model with an exponential dilaton potential in a flat FRW background . Interestingly, as a consequence of MUP, we found that it is possible to get a late time acceleration for this model. For the quantum mechanical description in both commutative and MUP framework, we found the analytical solutions of the Wheeler-DeWitt equation for the early universe and compare our results. We have used an approximation method in the case of MUP.

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