We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Cosmological aspects of the Eisenhart-Duval lift.
- Authors
Cariglia, M.; Galajinsky, A.; Gibbons, G. W.; Horvathy, P. A.
- Abstract
A cosmological extension of the Eisenhart-Duval metric is constructed by incorporating a cosmic scale factor and the energy-momentum tensor into the scheme. The dynamics of the spacetime is governed by the Ermakov-Milne-Pinney equation. Killing isometries include spatial translations and rotations, Newton-Hooke boosts and translation in the null direction. Geodesic motion in Ermakov-Milne-Pinney cosmoi is analyzed. The derivation of the Ermakov-Lewis invariant, the Friedmann equations and the Dmitriev-Zel’dovich equations within the Eisenhart-Duval framework is presented.
- Subjects
SPACETIME; GEODESICS; FRIEDMANN equations; ENERGY momentum relationship; DIFFERENTIAL equations
- Publication
European Physical Journal C -- Particles & Fields, 2018, Vol 78, Issue 4, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-018-5789-x