Can Quantum Gravitational Effects Influence the Entire History of the Universe?

Details Can Quantum Gravitational Effects Influence the Entire History of the Universe? Can Quantum Gravitational Effects Influence the Entire History of the Universe?

2008-05-26

arxiv.org/abs/0805.3971v1

Phys.Rev.D78:023504,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in the Physical Review D

Scientific paper

10.1103/PhysRevD.78.023504

In this work, a flat Friedmann-Robertson-Walker (FRW) universe with dust and a cosmological constant is quantized. By means of a canonical transformation, the classical Hamiltonian is reduced to that of either a harmonic oscillator or anti-oscillator, depending on whether $\Lambda<0$ or $\Lambda>0$, respectively. In this way exact solutions to the Wheeler-DeWitt equation can easily be obtained. It turns out that a positive cosmological constant alone may account for an early inflationary regime and a later accelerated expansion phase, with a period of decelerated expansion in between. This suggests that quantum gravitational effects can influence most of the history or even the entire history of the Universe.

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