Global dynamics of cosmological scalar fields -- Part I

Details Global dynamics of cosmological scalar fields -- Part I Global dynamics of cosmological scalar fields -- Part I

2006-12-13

arxiv.org/abs/gr-qc/0612087v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, added acknowledgements

Scientific paper

We investigate the Liouvillian integrability of Hamiltonian systems describing a universe filled with a scalar field (possibly complex). The tool used is the differential Galois group approach, as introduced by Morales-Ruiz and Ramis. The main result is that the generic systems are non-integrable, although there still exist some values of parameters for which integrability remains undecided. We also draw a connection with chaos present in such cosmological models. The first part of the article deals with minimally coupled fields, and the second treats the conformal couping.

Affiliated with

Also associated with

No associations

Rating

Global dynamics of cosmological scalar fields -- Part I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global dynamics of cosmological scalar fields -- Part I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global dynamics of cosmological scalar fields -- Part I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-476326