Reheating-volume measure for random-walk inflation

Details Reheating-volume measure for random-walk inflation Reheating-volume measure for random-walk inflation

2008-05-26

arxiv.org/abs/0805.3940v3

Phys.Rev.D78:063517,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Figure 1 updated, version accepted for publication in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.78.063517

The recently proposed "reheating-volume" (RV) measure promises to solve the long-standing problem of extracting probabilistic predictions from cosmological "multiverse" scenarios involving eternal inflation. I give a detailed description of the new measure and its applications to generic models of eternal inflation of random-walk type. For those models I derive a general formula for RV-regulated probability distributions that is suitable for numerical computations. I show that the results of the RV cutoff in random-walk type models are always gauge-invariant and independent of the initial conditions at the beginning of inflation. In a toy model where equal-time cutoffs lead to the "youngness paradox," the RV cutoff yields unbiased results that are distinct from previously proposed measures.

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