Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-08-19
Class.Quant.Grav.12:455-470,1995
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages , Latex. University of Cape Town, report 94
Scientific paper
10.1088/0264-9381/12/2/015
We consider the claim of Hawking and Page that the canonical measure applied to a FRW universe with a massive scalar field can solve the flatness problem regardless of inflation. By considering a general potential we are able to understand how the ambiguity for $\Omega$ found by Page in the $R^2$ theory is present when the potential is bounded from above. We suggests reasons why such potentials are realistic. The ambiguity for the possibility of inflation present in the Gibbons- Hawking- Stewart measure can be resolved by an input from Quantum cosmology. We contrast the resulting measure obtained in this way with those obtained in the more usual approaches to quantum cosmology. The measure agrees with that found from a "classical" signature change.
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