Homothetic Wyman Spacetimes
General Relativity and Quantum Cosmology
2009-10-30 v2
Abstract
The time-dependent, spherically symmetric, Wyman sector of the Unified Field Theory is shown to be equivalent to a self-gravitating scalar field with a positive-definite, repulsive self-interaction potential. A homothetic symmetry is imposed on the fundamental tensor, and the resulting autonomous system is numerically integrated. Near the critical point (between the collapsing and non-collapsing spacetimes) the system displays an approximately periodic alternation between collapsing and dispersive epochs.
Keywords
Cite
@article{arxiv.gr-qc/9707037,
title = {Homothetic Wyman Spacetimes},
author = {M. A. Clayton},
journal= {arXiv preprint arXiv:gr-qc/9707037},
year = {2009}
}
Comments
15 pages with 6 figures; requires amsart, amssymb, amsmath, graphicx; formatted for publication in Int. J. Mod. Phys. D