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Cosmological Solutions in Scalar-Tensor theory via the Eisenhart-Duval lift

2025/01/16 by Andronikos Paliathanasis, Paliathanasis, Andronikos
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #Mathematical Physics (math-ph) #Relativity and Gravitational Theory #Solar and Space Plasma Dynamics

paper · pdf · doi:10.48550/arxiv.2501.09356

openalex publication_date 2025/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We implement the Einsenhart-Duval lift in scalar-tensor gravity as a means to construct integrable cosmological models and analytic cosmological solutions. Specifically, we employ a geometric criterion to constrain the free functions of the scalar-tensor theory such that the field equations can be written in the equivalent form of linear equations. This geometric linearization is achieved by the introduction of an extended minisuperspace description. The results are applied to construct analytic solutions in modified theories of gravity such as the f( R) -theory and the hybrid metric-Palatini f( R) -gravity.

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