POSITIVE FREQUENCY SOLUTIONS OF THE KLEIN-GORDON EQUATION IN THE N-DIMENSIONAL DE SITTER SPACETIME

Authors
LOKAS EL
Citation
El. Lokas, POSITIVE FREQUENCY SOLUTIONS OF THE KLEIN-GORDON EQUATION IN THE N-DIMENSIONAL DE SITTER SPACETIME, ACT PHY P B, 26(1), 1995, pp. 19-33
Citations number
13
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA POLONICA B
ISSN journal
05874254 → ACNP
Volume
26
Issue
1
Year of publication
1995
Pages
19 - 33
Database
ISI
SICI code
0587-4254(1995)26:1<19:PFSOTK>2.0.ZU;2-W
Abstract
A massless scalar field in the (1 + n)-dimensional Minkowski spacetime is considered. The d'Alembert equation for the field is solved in pse udospherical coordinates. The positive frequency part of the solutions is found using the symmetry between coordinates and momenta. The solu tions are projected onto the n-dimensional de Sitter hyperboloid embed ded in the flat spacetime. The results for the special n = 4 case are easily reproduced.