A SCHR\"Odinger Equation for Mini Universes
General Relativity and Quantum Cosmology
2014-11-17 v1 Astrophysics
High Energy Physics - Theory
Abstract
We discuss how to fix the gauge in the canonical treatment of Lagrangians, with finite number of degrees of freedom, endowed with time reparametrization invariance. The motion can then be described by an effective Hamiltonian acting on the gauge shell canonical space. The system is then suited for quantization. We apply this treatment to the case of a Robertson--Walker metric interacting with zero modes of bosonic fields and write a \S equation for the on--shell wave function.
Keywords
Cite
@article{arxiv.gr-qc/9402031,
title = {A SCHR\"Odinger Equation for Mini Universes},
author = {Marco Cavaglià and Vittorio de Alfaro and Alexandre T. Filippov},
journal= {arXiv preprint arXiv:gr-qc/9402031},
year = {2014}
}
Comments
21 pages, PLAIN-TEX, Ref: DFTT 6/94, SISSA 25/94/A