For flat FLRW with n free massless scalars, the physical symmetry algebra of the minisuperspace is conf(n,1), and the Schrödinger algebra seen in the Eisenhart-Duval lift is gauge-dependent except for the single-field case.
Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schr\"odinger-type formulation
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We report a method of solving for canonical scalar field exact solution in a non-flat FLRW universe with barotropic fluid using non-linear Schr\"{o}dinger (NLS)-type formulation in comparison to the method in the standard Friedmann framework. We consider phantom and non-phantom scalar field cases with exponential and power-law accelerating expansion. Analysis on effective equation of state to both cases of expansion is also performed. We speculate and comment on some advantage and disadvantage of using the NLS formulation in solving for the exact solution.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Gauge vs (hidden) physical symmetries of FLRW cosmologies
For flat FLRW with n free massless scalars, the physical symmetry algebra of the minisuperspace is conf(n,1), and the Schrödinger algebra seen in the Eisenhart-Duval lift is gauge-dependent except for the single-field case.