arXiv:gr-qc/0604126·v2·General Relativity and Quantum Cosmology
Complex Lagrangians and phantom cosmology
A.A. Andrianov🇷🇺 · F. Cannata🇮🇹 · A. Y. Kamenshchik🇮🇹
Abstract
Motivated by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with PT symmetry, we show how a classical cosmological model describes a smooth transition from ordinary dark energy to the phantom one. The model is based on a classical complex Lagrangian of a scalar field. Specific symmetry properties analogous to PT in non-Hermitian quantum mechanics lead to purely real equation of motion.
Comments: 11 pages, to be published in J.Phys.A, refs. added