Conformal cosmology with a positive effective gravitational constant
General Relativity and Quantum Cosmology
2015-05-20 v1
Abstract
The conformal cosmological model presented by Mannheim predicts a negative value for the effective gravitational constant, G. It also involves a scalar field, S, which is treated classically. In this paper we point out that a classical treatment of S is inappropriate, because the Hamiltonian is non-Hermitean, and the theory must be developed in the way pioneered by Bender and others. When this is done, we arrive at a Hamiltonian with an energy spectrum that is bounded below, and also a G that is positive. The resulting theory closely resembles the conventional cosmology based on Einstein relativity.
Keywords
Cite
@article{arxiv.1011.6280,
title = {Conformal cosmology with a positive effective gravitational constant},
author = {Peter R. Phillips},
journal= {arXiv preprint arXiv:1011.6280},
year = {2015}
}