By adding an extra dimension through the Eisenhart-Duval lift and requiring conformal flatness, the author finds scalar-tensor cosmologies whose field equations reduce to linear equations with power-law solutions.
Cosmological Constant from Equivalent Transformation in Quantum Cosmology
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abstract
We explore the introduction of the cosmological constant via equivalent transformations in cosmology. We consider the Wheeler-DeWitt equation for the CDM universe and we construct the Hamilton-Jacobi action for the $\Lambda$CDM model. We discuss how this approach allows us to relate different physical systems, providing insights into the role of the cosmological constant in cosmology.
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Cosmological Solutions in Scalar-Tensor theory via the Eisenhart-Duval lift
By adding an extra dimension through the Eisenhart-Duval lift and requiring conformal flatness, the author finds scalar-tensor cosmologies whose field equations reduce to linear equations with power-law solutions.