2 papers
gr-qc2026
Integrability of Conformal Killing Vectors in the Eisenhart Lift of Scalar-Field FLRW Cosmology
Takeshi Chiba, Tsuyoshi Houri
We study the integrability conditions of the conformal Killing equations for the Eisenhart lift of a scalar field in a flat Friedmann-Lema\^ıtre-Robertson-Walker universe. The det…
gr-qc2025
Eisenhart Lift for Scalar Fields in the FLRW Universe
Takeshi Chiba, Tsuyoshi Houri
The Eisenhart lift of Riemannian type describes the motion of a particle as a geodesic in a higher-dimensional Riemannian manifold with one additional coordinate. It has recently b…