Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?
General Relativity and Quantum Cosmology
2012-03-15 v2 High Energy Physics - Theory
Abstract
It is shown that, contrary to previous claims, a scalar tensor theory of Brans-Dicke type provides a relativistic generalization of Newtonian gravity in 2+1 dimensions. The theory is metric and test particles follow the space-time geodesics. The static isotropic solution is studied in vacuum and in regions filled with an incompressible perfect fluid. It is shown that the solutions can be consistently matched at the matter vacuum interface, and that the Newtonian behavior is recovered in the weak field regime.
Cite
@article{arxiv.gr-qc/0207070,
title = {Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?},
author = {J. L. Alonso and J. L. Cortes and V. Laliena},
journal= {arXiv preprint arXiv:gr-qc/0207070},
year = {2012}
}
Comments
6 pages, no figures, Revtex4. Some discussions on the physical nature of the interior solution and on the omega->infinity limit and some references added. Version to appear in Phys. Rev. D