References & Citations
General Relativity and Quantum Cosmology
Title: Hidden Symmetries of Power-Law Inflation
(Submitted on 29 Apr 2024)
Abstract: A scalar field with an exponential potential in FLRW universe admits the exact solution. We uncover the hidden symmetries behind the system by utilising the Eisenhart lift of field theories. We find that a conformal Killing vector field in the field space exists only for a particular combination of exponential functions which includes a single exponential potential. This implies the existence of additional conserved quantity and explains the integrability of the system.
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