Non-integrability of density perturbations in the FRW universe

Details Non-integrability of density perturbations in the FRW universe Non-integrability of density perturbations in the FRW universe

2005-08-29

arxiv.org/abs/gr-qc/0508119v3

J.Math.Phys. 47 (2006) 032502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages. The latest version with added references, and a relevant new paragraph in section II

Scientific paper

10.1063/1.2178584

We investigate the evolution equation of linear density perturbations in the Friedmann-Robertson-Walker universe with matter, radiation and the cosmological constant. The concept of solvability by quadratures is defined and used to prove that there are no "closed form" solutions except for the known Chernin, Heath, Meszaros and simple degenerate ones. The analysis is performed applying Kovacic's algorithm. The possibility of the existence of other, more general solutions involving special functions is also investigated.

Affiliated with

Also associated with

No associations

Rating

Non-integrability of density perturbations in the FRW universe 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 Non-integrability of density perturbations in the FRW universe, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-integrability of density perturbations in the FRW universe will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404941