@article {Cariglia2018, title = {Cosmological aspects of the Eisenhart{\textendash}Duval lift}, journal = {The European Physical Journal C}, volume = {78}, number = {4}, year = {2018}, month = {Apr}, pages = {314}, abstract = {A cosmological extension of the Eisenhart{\textendash}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{\textendash}Milne{\textendash}Pinney equation. Killing isometries include spatial translations and rotations, Newton{\textendash}Hooke boosts and translation in the null direction. Geodesic motion in Ermakov{\textendash}Milne{\textendash}Pinney cosmoi is analyzed. The derivation of the Ermakov{\textendash}Lewis invariant, the Friedmann equations and the Dmitriev{\textendash}Zel{\textquoteright}dovich equations within the Eisenhart{\textendash}Duval framework is presented.}, issn = {1434-6052}, doi = {10.1140/epjc/s10052-018-5789-x}, url = {https://doi.org/10.1140/epjc/s10052-018-5789-x}, author = {Cariglia, M. and Galajinsky, A. and Gibbons, G. W. and Horvathy, P. A.} }