The density parameter and the Anthropic Principle

Details The density parameter and the Anthropic Principle The density parameter and the Anthropic Principle

1998-03-23

arxiv.org/abs/astro-ph/9803268v2

Phys.Rev. D60 (1999) 023501

Astronomy and Astrophysics

Astrophysics

Revised version, to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.60.023501

In the context of open inflation, we calculate the probability distribution for the density parameter $\Omega$. A large class of two field models of open inflation do not lead to infinite open universes, but to an ensemble of inflating islands of finite size, or ``quasi-open'' universes, where the density parameter takes a range of values. Assuming we are typical observers, the models make definite predictions for the value $\Omega$ we are most likely to observe. When compared with observations, these predictions can be used to constrain the parameters of the models. We also argue that obsevers should not be surprised to find themselves living at the time when curvature is about to dominate.

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