4 papers
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…
Refocusing of Wheeler--DeWitt wave functions at inner horizons
Takeshi Chiba, Keiju Murata, Daiki Saito
We study quantum gravitational effects inside hyperbolic black holes with both outer and inner horizons by solving the Wheeler--DeWitt (WDW) equation in the minisuperspace approxim…
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…
Hidden Symmetries of Power-Law Inflation
Takeshi Chiba, Tsuyoshi Houri
A scalar field with an exponential potential has been proposed as a model of inflation (called power-law inflation). Although it admits an exact solution, the integrability of the…