Fetching the paper…

Reading the bibliography…

Inflationary Attractors and their Measures · Around

2013

Inflationary Attractors and their Measures

Corichi, Alejandro, Sloan, David

Original
PDF
Post on X

Understand

Several recent misconceptions about the measure problem in inflation and the nature of inflationary attractors are addressed.

We show that within the Hamiltonian system of flat Friedmann-Lema\^itre-Robertson-Walker cosmology coupled to a massive scalar field, the focussing of the Liouville measure on attractor solutions is brought about by a spread in a gauge degree of freedom - the spatial volume.
Using this we show how the Liouville measure formulated on a surface of constant Hubble rate induces a probability distribution function on surfaces of other Hubble rates, and the attractor behaviour is seen through the focussing of this function on a narrow range of physical observables.
One can conclude then that standard techniques from Hamiltonian dynamics suffice to provide a satisfactory description of attractor solutions and the measure problem.

Built on

A Natural Measure on the Set of All Universes
G.W. Gibbons, S.W. Hawking, and J.M. Stewart · 1987
Earlier work this paper cites.
Towards a gauge invariant volume-weighted probability measure for eternal inflation
Andrei D. Linde · 2007
Earlier work this paper cites.
Eternal inflation and its implications
Original
Alan H. Guth · 2007
Earlier work this paper cites.
The Measure Problem in Cosmology
G.W. Gibbons and Neil Turok · 2008
Earlier work this paper cites.

Similar

Loop Quantum Cosmology and The Early Universe
David Sloan · 2010
Cited alongside, same era.
Loop quantum cosmology and slow roll inflation
Abhay Ashtekar and David Sloan · 2010
Cited alongside, same era.
Probability of inflation in loop quantum cosmology
Abhay Ashtekar and David Sloan · 2011
Cited alongside, same era.
On the measure problem in slow roll inflation and loop quantum cosmology
Alejandro Corichi and Asieh Karami · 2011
Cited alongside, same era.

Then

Measure and Probability in Cosmology
Joshua S. Schiffrin and Robert M. Wald · 2012
Later among the works it cites.
Planck 2013 results. XXII. Constraints on inflation
P.A.R. Ade et al · 2013
Closest in time.
Attractor Solutions in Scalar-Field Cosmology
Grant N. Remmen and Sean M. Carroll · 2013
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…