Non-integrability of density perturbations in the FRW universe

Simple item page
dc.creatorStachowiak, Tomasz
dc.creatorSzydlowski, Marek
dc.creatorMaciejewski, Andrzej J.
dc.date2005-08-29
dc.date2006-03-15
dc.date.accessioned2026-07-07T06:42:00Z
dc.date.available2026-07-07T06:42:00Z
dc.descriptionWe 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.
dc.description13 pages. The latest version with added references, and a relevant new paragraph in section II
dc.identifierhttps://arxiv.org/abs/gr-qc/0508119
dc.identifierhttp://arxiv.org/abs/gr-qc/0508119
dc.identifierJ.Math.Phys. 47 (2006) 032502
dc.identifierdoi:10.1063/1.2178584
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101883
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleNon-integrability of density perturbations in the FRW universe
dc.typetext

Files

Collections

arXiv