Home > Research > Publications & Outputs > Inflationary attractors and their measures

Associated organisational unit

Links

Text available via DOI:

View graph of relations

Inflationary attractors and their measures

Research output: Contribution to journalJournal article

Published
Close
Article number062001
<mark>Journal publication date</mark>2014
<mark>Journal</mark>Classical and Quantum Gravity
Issue number6
Volume31
Number of pages7
Publication StatusPublished
<mark>Original language</mark>English

Abstract

Several recent misconceptions about the measure problem in inflation and the nature of inflationary attractors are addressed. We clarify some issues regarding the Hamiltonian dynamics of a flat Friedmann–Lemaître–Robertson–Walker cosmology coupled to a massive scalar field. In particular we show that the focusing of the Liouville measure on attractor solutions is recovered by properly dealing with a gauge degree of freedom related to the rescaling of the spatial volume. Furthermore, we show how the Liouville measure formulated on a surface of constant Hubble rate, together with the assumption of constant a priory probability, induces a non-uniform probability distribution function on any other surfaces of other Hubble rates. The attractor behaviour is seen through the focusing of this function on a narrow range of physical observables. This qualitative behaviour is robust under change of potential and underlying measure. One can then conclude that standard techniques from Hamiltonian dynamics suffice to provide a satisfactory description of attractor solutions and the measure problem for inflationary dynamics.