Complex Lagrangians and phantom cosmology
General Relativity and Quantum Cosmology
2009-11-11 v2 Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
Cite
@article{arxiv.gr-qc/0604126,
title = {Complex Lagrangians and phantom cosmology},
author = {A. A. Andrianov and F. Cannata and A. Y. Kamenshchik},
journal= {arXiv preprint arXiv:gr-qc/0604126},
year = {2009}
}
Comments
11 pages, to be published in J.Phys.A, refs. added