On the rest and flat limits of the scalar modes on the de Sitter spacetime

Abstract

The scalar mode functions on the spatially flat FLRW chart of the de Sitter spacetime are redefined in order to obtain a natural frequencies separation in the special local charts where the momentum vanishes, called here (natural) rest frames. This can be done since in such frames the mode functions are eigenfunctions of the energy operator. Moreover, the most general criteria for choosing the suitable phase factors of the mode functions able to simultaneously determine the correct rest and flat limits are established. These results are compared to the different original choices from the literature. Pacs: 04.62.+v

9 pages no figures

References in corpus (7)

• De Sitter Space and Eternity
• Stochastic Inflationary Scalar Electrodynamics
• de Sitter special relativity
• The physical meaning of the de Sitter invariants
• Conservation laws and scattering for de Sitter classical particles
• The quantum theory of scalar fields on the de Sitter expanding universe
• Boltzmann equation in de Sitter space

Cited by in corpus (6)

• Implications of purely classical gravity for inflationary tensor modes
• Production of scalar particles in electric field on de Sitter expanding Universe
• Canonical quantization of the covariant fields on de Sitter spacetimes
• Radiation of inertial scalar particles in the de Sitter universe
• One-photon pair production on the expanding de Sitter spacetime
• Isometry generators in momentum representation of the Dirac theory on the de Sitter spacetime